diff --git a/inputters/djot.lua b/inputters/djot.lua
index f90e20c..bd1232b 100644
--- a/inputters/djot.lua
+++ b/inputters/djot.lua
@@ -552,23 +552,17 @@ function Renderer:mark (node)
 end
 
 function Renderer:insert (node)
+  local options = node.attr or {}
   local content = self:render_children(node)
-  local out = { "⟨", content, "⟩" }
-  if node.attr then
-    -- Add a div when containing attributes
-    return createCommand("markdown:internal:span", node.attr, out, node_pos(node))
-  end
-  return out
+  djotast.insert_attribute(options, "class", "insertion")
+  return createCommand("markdown:internal:span", options, content, node_pos(node))
 end
 
 function Renderer:delete (node)
+  local options = node.attr or {}
   local content = self:render_children(node)
-  local out = { "{", content, "}" }
-  if node.attr then
-    -- Add a div when containing attributes
-    return createCommand("markdown:internal:span", node.attr, out, node_pos(node))
-  end
-  return out
+  djotast.insert_attribute(options, "class", "deletion")
+  return createCommand("markdown:internal:span", options, content, node_pos(node))
 end
 
 local function extractAttrValue (attr, key)
diff --git a/inputters/markdown.lua b/inputters/markdown.lua
index 336c4d5..e82edd1 100644
--- a/inputters/markdown.lua
+++ b/inputters/markdown.lua
@@ -94,7 +94,6 @@ local function SileAstWriter (writerOps, renderOps)
   writer.paragraph = simpleCommandWrapper("markdown:internal:paragraph")
   writer.code = simpleCommandWrapper("code")
   writer.emphasis = simpleCommandWrapper("em")
-  writer.strikeout = simpleCommandWrapper("strikethrough")
   writer.subscript = simpleCommandWrapper("textsubscript")
   writer.superscript = simpleCommandWrapper("textsuperscript")
   writer.blockquote = simpleCommandWrapper("markdown:internal:blockquote")
@@ -156,6 +155,10 @@ local function SileAstWriter (writerOps, renderOps)
     return createCommand("markdown:internal:span" , attr, content)
   end
 
+  writer.strikeout = function (content)
+    return createCommand("markdown:internal:span" , { class = "strike" }, content)
+  end
+
   writer.div = function (content, attr)
     return createCommand("markdown:internal:div" , attr, content)
   end
diff --git a/inputters/pandocast.lua b/inputters/pandocast.lua
index 2440aa6..2efe739 100644
--- a/inputters/pandocast.lua
+++ b/inputters/pandocast.lua
@@ -427,11 +427,6 @@ function Renderer:Emph (inlines)
   local content = self:render(inlines)
   return createCommand("em", {}, content)
 end
--- Underline [Inline]
-function Renderer:Underline (inlines)
-  local content = self:render(inlines)
-  return createCommand("underline", {}, content)
-end
 
 -- Strong [Inline]
 function Renderer:Strong (inlines)
@@ -439,10 +434,16 @@ function Renderer:Strong (inlines)
   return createCommand("strong", {}, content)
 end
 
+-- Underline [Inline]
+function Renderer:Underline (inlines)
+  local content = self:render(inlines)
+  return createCommand("markdown:internal:span", { class = "underline" }, content)
+end
+
 -- Strikeout [Inline]
 function Renderer:Strikeout (inlines)
   local content = self:render(inlines)
-  return createCommand("strikethrough", {}, content)
+  return createCommand("markdown:internal:span" , { class = "strike" }, content)
 end
 
 -- Superscript [Inline]
@@ -460,7 +461,7 @@ end
 -- SmallCaps [Inline]
 function Renderer:SmallCaps (inlines)
   local content = self:render(inlines)
-  return createCommand("font", { features = "+smcp" }, content)
+  return createCommand("markdown:internal:span", { class = "smallcaps" }, content)
 end
 
 -- Quoted QuoteType [Inline]
diff --git a/packages/markdown/cmbase.lua b/packages/markdown/cmbase.lua
index 6bd1a32..11f4336 100644
--- a/packages/markdown/cmbase.lua
+++ b/packages/markdown/cmbase.lua
@@ -52,7 +52,7 @@ end
 ---@param pack  string   The package name.
 function package:loadOptPackage (pack)
   local ok, _ = pcall(function () return self:loadPackage(pack) end)
-  SU.debug("markdown", "Optional package "..pack.. (ok and " loaded" or " not loaded"))
+  SU.debug("markdown.commands", "Optional package "..pack.. (ok and " loaded" or " not loaded"))
 end
 
 --- Feature detection, so we can see e.g. with self.hasPackageSupport.xxx if
@@ -74,19 +74,19 @@ function package:_init (_)
 
   -- Check if document class is a resilient class or derived from one
   self.isResilient = isResilientClass(self.class)
-  SU.debug("markdown", "Feature detection:",
+  SU.debug("markdown.commands", "Feature detection:",
     self.isResilient and "used in a resilient class" or "used in a non-resilient class")
 
   self.hasPackageSupport = self:_createSupportProxy(function (_, name)
     local pack = self.class.packages[name]
-    SU.debug("markdown", "Feature detection: package", name,
+    SU.debug("markdown.commands", "Feature detection: package", name,
       pack and "supported" or "not supported")
     return pack
   end)
 
   self.styles = self.hasPackageSupport["resilient.styles"]
   if self.styles then
-    SU.debug("markdown", "Feature detection: hooking our custom styles")
+    SU.debug("markdown.commands", "Feature detection: registering custom styles")
     self:registerStyles()
   end
 
@@ -95,7 +95,7 @@ function package:_init (_)
     -- SILE was refactor to have loadPackage() etc. methods, a lot of boilerplate
     -- if at the end we still need to tap into low-level internals.
     local cmd = SILE.Commands[name]
-    SU.debug("markdown", "Feature detection: command", name,
+    SU.debug("markdown.commands", "Feature detection: command", name,
       cmd and "supported" or "not supported")
     return cmd
   end)
@@ -109,7 +109,7 @@ function package:_init (_)
       -- non-existing style, so is not very handy here.
       -- But it's a chicken and egg problem, between resilient and us.
       and SILE.scratch.styles.specs[name] -- HACK
-    SU.debug("markdown", "Feature detection: style", name,
+    SU.debug("markdown.commands", "Feature detection: style", name,
       style and "supported" or "not supported")
     return style
   end)
diff --git a/packages/markdown/commands.lua b/packages/markdown/commands.lua
index 014a828..96b68e7 100644
--- a/packages/markdown/commands.lua
+++ b/packages/markdown/commands.lua
@@ -395,16 +395,45 @@ Please consider using a resilient-compatible class!]])
       cascade:call("font", { features = "+smcp" })
     end
     if hasClass(options, "mark") then
-      cascade:call("markdown:fallback:mark") -- FIXME Better that before... but be more generic and style-aware
+      cascade:call("markdown:custom-style:hook", {
+        name = "md-mark",
+        alt = "markdown:fallback:mark",
+        scope = "inline"
+      })
     end
     if hasClass(options, "strike") then
-      cascade:call("strikethrough")
+      cascade:call("markdown:custom-style:hook", {
+        name = "md-strikethrough",
+        alt = "strikethrough",
+        scope = "inline"
+      })
     end
     if hasClass(options, "underline") then
-      cascade:call("underline")
+      cascade:call("markdown:custom-style:hook", {
+        name = "md-underline",
+        alt = "underline",
+        scope = "inline"
+      })
+    end
+    if hasClass(options, "insertion") then
+      cascade:call("markdown:custom-style:hook", {
+        name = "md-insertion",
+        alt = "underline",
+        scope = "inline"
+      })
+    end
+    if hasClass(options, "deletion") then
+      cascade:call("markdown:custom-style:hook", {
+        name = "md-deletion",
+        alt = "strikethrough",
+        scope = "inline"
+      })
     end
     if options["custom-style"] then
-      cascade:call("markdown:custom-style:hook", { name = options["custom-style"], scope = "inline" })
+      cascade:call("markdown:custom-style:hook", {
+        name = options["custom-style"],
+        scope = "inline"
+      })
     end
     if hasClass(options, "nobreak") then
       cascade:call("hbox")
@@ -849,7 +878,7 @@ Please consider using a resilient-compatible class!]])
         end
       )
     else
-      SU.debug("markdown", "Feature detection: No liner, using a simpler fallback for mark")
+      SU.debug("markdown.commands", "Feature detection: no liner, using a simpler fallback for mark")
       -- Liners are introduced in SILE 0.15.
       -- Resilient (with the silex compatibility layer) has them too for SILE 0.14.
       -- For now, also support older versions of SILE when used in a non-resilient context.
@@ -877,34 +906,39 @@ Please consider using a resilient-compatible class!]])
   -- C. Customizable hooks
 
   self:registerCommand("markdown:custom-style:hook", function (options, content)
-    -- Default implementation for the custom-style hook:
-    -- If we are in the context of a resilient-compatible class and there's
-    -- an existing style going by that name, use it.
-    -- Otherwise, tf there is a corresponding SILE command, we invoke it.
-    -- otherwise, we just ignore the style and process the content.
-    -- It allows us, e.g. to already
-    --  - Use resilient styles in proper context
+    -- Default/standard implementation for the custom-style hook:
+    -- 1. If we are in the context of a resilient-compatible class and there's
+    -- an existing style going by that name, we apply it.
+    -- 2. Otherwise, if there is a corresponding SILE command, going by the
+    -- optional "alt" command name or if unspecified, the style name itself,
+    -- we invoke it.
+    -- 3. Otherwise, we just silently ignore the style and process the content.
+    --
+    -- It allows us to;
+    --  - Use resilient styling paradigm if applicable
+    --  - Use some alternate fallback command if provided
     --  - Use some interesting commands, such as "custom-style=raggedleft".
     -- Package or class designers MAY override this hook to support any other
     -- styling mechanism they may have or want.
-    -- The available options are the custom-style "name" and a "scope" which
-    -- can be "inline" (for inline character-level styling) or "block" (for
-    -- block paragraph-level styling).
+    -- The available options are the custom-style "name", an optional "alt"
+    -- command name, and a "scope" which can be "inline" (for inline
+    -- character-level styling) or "block" (for block paragraph-level styling).
     local name = SU.required(options, "name", "markdown custom style hook")
+    local scope = SU.required(options, "scope", "markdown custom style hook")
+    local alt = options.alt or name
+
     if self.hasStyleSupport[name] then
-      SU.debug("markdown", "Feature detection: Applying actual custom style:", name)
-      if options.scope == "block" then
+      if scope == "block" then
         SILE.call("style:apply:paragraph", { name = name }, content)
       else
         SILE.call("style:apply", { name = name }, content)
       end
-    elseif self.hasCommandSupport[name] then
-      SU.debug("markdown", "Feature detection: Applying command for custom style:", name)
-      SILE.call(name, {}, content)
+    elseif self.hasCommandSupport[alt] then
+      SILE.call(alt, {}, content)
     else
-      SU.debug("markdown", "Feature detection: Ignoring unknown custom style:", name)
+      SU.debug("markdown.commands", "Feature detection: ignoring unknown custom style:", name)
       SILE.process(content)
-      if options.scope == "block" then
+      if scope == "block" then
         SILE.call("par")
       end
     end