diff --git a/docs/checks/rule/name.md b/docs/checks/rule/name.md
index c22c475c..cc7b10e3 100644
--- a/docs/checks/rule/name.md
+++ b/docs/checks/rule/name.md
@@ -43,7 +43,7 @@ rule {
     kind = "recording"
   }
 
-  label "rec:.+" {
+  name "rec:.+" {
     comment  = "ALl recording rules must use the `rec:` prefix."
     severity = "bug"
   }
@@ -83,7 +83,7 @@ you can add a more specific comment.
 Example pint rule:
 
 ```js
-label "rec:.+" {
+name "rec:.+" {
   comment  = "ALl recording rules must use the `rec:` prefix."
   severity = "bug"
 }
diff --git a/internal/checks/rule_name_test.go b/internal/checks/rule_name_test.go
index 5ac508f3..c2e78622 100644
--- a/internal/checks/rule_name_test.go
+++ b/internal/checks/rule_name_test.go
@@ -11,7 +11,7 @@ import (
 func TestRuleName(t *testing.T) {
 	testCases := []checkTest{
 		{
-			description: "doesn't ignore rules with syntax errors",
+			description: "recording rule name doesn't match",
 			content:     "- record: foo\n  expr: sum(foo) without(\n",
 			checker: func(_ *promapi.FailoverGroup) checks.RuleChecker {
 				return checks.NewRuleNameCheck(checks.MustTemplatedRegexp("total:.+"), "some text", checks.Warning)
@@ -33,7 +33,7 @@ func TestRuleName(t *testing.T) {
 			},
 		},
 		{
-			description: "doesn't ignore rules with syntax errors",
+			description: "recording rule name match",
 			content:     "- record: total:foo\n  expr: sum(foo) without(\n",
 			checker: func(_ *promapi.FailoverGroup) checks.RuleChecker {
 				return checks.NewRuleNameCheck(checks.MustTemplatedRegexp("total:.+"), "some text", checks.Warning)
@@ -42,7 +42,7 @@ func TestRuleName(t *testing.T) {
 			problems:   noProblems,
 		},
 		{
-			description: "doesn't ignore rules with syntax errors",
+			description: "alerting rule name doesn't match",
 			content:     "- alert: foo\n  expr: sum(foo) without(\n",
 			checker: func(_ *promapi.FailoverGroup) checks.RuleChecker {
 				return checks.NewRuleNameCheck(checks.MustTemplatedRegexp("total:.+"), "some text", checks.Warning)
@@ -64,7 +64,7 @@ func TestRuleName(t *testing.T) {
 			},
 		},
 		{
-			description: "doesn't ignore rules with syntax errors",
+			description: "alerting rule name match",
 			content:     "- alert: total:foo\n  expr: sum(foo) without(\n",
 			checker: func(_ *promapi.FailoverGroup) checks.RuleChecker {
 				return checks.NewRuleNameCheck(checks.MustTemplatedRegexp("total:.+"), "some text", checks.Warning)