diff --git a/src/hera/workflows/script.py b/src/hera/workflows/script.py
index 52dbfb0ee..03ef6280c 100644
--- a/src/hera/workflows/script.py
+++ b/src/hera/workflows/script.py
@@ -629,12 +629,24 @@ class _ScriptDecoratedFunction(Generic[FuncIns, FuncRCov], Protocol):
 
     @overload
     def __call__(  # type: ignore [overload-overlap]
+        self, *args: FuncIns.args, **kwargs: FuncIns.kwargs
+    ) -> FuncRCov:
+        # Note: this overload is for calling the decorated function.
+        # No docstring is provided, so VS Code will use the docstring of the decorated function.
+        ...
+
+    @overload
+    def __call__(  # type: ignore [overload-overlap, misc]
         self,
     ) -> Optional[Union[Step, Task]]:
-        """@script-decorated function invoked within a workflow, step or task context.
+        """Create a Step or Task or add the script as a template to the workflow, depending on the context.
 
-        May return None, a Step, or a Task, depending on the context. Use `assert isinstance(result, Step)`
-        or `assert isinstance(result, Task)` to select the correct type if using a type-checker.
+        * Under a DAG context, creates and returns a Task.
+        * Under a Steps or Parallel context, creates and returns a Step.
+        * Under a Workflow context, adds the script as a template to the Workflow and returns None.
+
+        Use `assert isinstance(result, Step)` or `assert isinstance(result, Task)` to select
+        the correct type if using a type-checker.
         """
 
     @overload
@@ -654,13 +666,16 @@ def __call__(  # type: ignore [overload-overlap]
         with_param: Optional[Any] = ...,
         with_items: Optional[OneOrMany[Any]] = ...,
     ) -> Union[Step, Task]:
-        """@script-decorated function invoked within a step or task context.
+        """Create a Step or Task, depending on context.
+
+        * Under a DAG context, creates and returns a Task.
+        * Under a Steps or Parallel context, creates and returns a Step.
 
-        May return a Step or a Task, depending on the context. Use `assert isinstance(result, Step)`
-        or `assert isinstance(result, Task)` to select the correct type if using a type-checker.
+        Use `assert isinstance(result, Step)` or `assert isinstance(result, Task)` to select
+        the correct type if using a type-checker.
         """
         # Note: signature must match the Step constructor, except that while name is required for Step,
-        # it is automatically inferred from the name of the decorated function for @script.
+        # it is automatically inferred from the name of the decorated function when invoked.
 
     @overload
     def __call__(  # type: ignore [overload-overlap]
@@ -681,16 +696,12 @@ def __call__(  # type: ignore [overload-overlap]
         dependencies: Optional[List[str]] = ...,
         depends: Optional[str] = ...,
     ) -> Task:
-        """@script-decorated function invoked within a task context."""
-        # Note: signature must match the Task constructor, except that while name is required for Task,
-        # it is automatically inferred from the name of the decorated function for @script.
-
-    @overload
-    def __call__(self, *args: FuncIns.args, **kwargs: FuncIns.kwargs) -> FuncRCov:
-        """@script-decorated function invoked outside of a step or task context.
+        """Create and return a Task.
 
-        Will call the decorated function.
+        Must be invoked under a DAG context.
         """
+        # Note: signature must match the Task constructor, except that while name is required for Task,
+        # it is automatically inferred from the name of the decorated function when invoked.
 
 
 # Pass actual class of Script to bind inputs to the ParamSpec above
diff --git a/tests/typehints/test_script_decorator.py b/tests/typehints/test_script_decorator.py
index 8a9a687fc..6f23aa881 100644
--- a/tests/typehints/test_script_decorator.py
+++ b/tests/typehints/test_script_decorator.py
@@ -65,7 +65,7 @@ def test_invocation_with_no_arguments():
 
 
 def test_parameter_named_name():
-    """If a script has a 'name' argument, the Step/Task overload will take precedence."""
+    """If a script has a 'name' argument, the user function will take precedence over other overloads."""
     INVOCATION = """
         from hera.workflows import script
 
@@ -77,7 +77,7 @@ def simple_script(name: str) -> int:
         reveal_type(result)
     """
     result = run_mypy(dedent(INVOCATION))
-    assert 'Revealed type is "Union[hera.workflows.steps.Step, hera.workflows.task.Task]"' in result
+    assert 'Revealed type is "builtins.int"' in result
 
 
 def step_and_task_parameters() -> Iterator[Tuple[str, str, str]]: