### Godot version

v4.0.3.stable.official [5222a99f5]

### System information

Win 10

### Issue description

When Autoload scripts have compile errors, the error is not printed to Output. Instead, they fail when Running with an error completely unrelated to what's wrong:

```
USER ERROR: Script does not inherit from Node: res://thetrouble.gd.
   at: start (main/main.cpp:2776)
```

There's no other information. I assume this message is because their failure to compile means they don't get associated as a Node child (related to #75388?)? But I don't understand why they don't have any errors reported. I think it only occurs if they were added to Autoload before they got compiled/used?

I am using an external editor (gvim) and godot's LSP support. That correctly shows the error, but only when I'm editing the broken file which makes it unclear what's wrong. (When I first encountered this problem, I looked at the files, saw they were extending Node2D and didn't understand the problem. It's possible the lsp was failing to show any errors, but it shows errors now.)

### Steps to reproduce

1. New project, add scene
2. Add script "thetrouble.gd"
3. Add thetrouble.gd as an Autoload
4. Add invalid code to thetrouble.gd (two variables named `seq`) 
  * **Expected**: compile error reported
  * **Actual**: No output
5. Run project
  * **Expected**: compile error reported
  * **Actual**: Script does not inherit from Node: res://thetrouble.gd.
6. Add valid code to thetrouble.gd (assign a value to `seq`) 
  * **Expected**: compile error reported
  * **Actual**: No output

Note: If you mix up steps 2 and 3, the issue will not occur.

Workaround: Edit Autoloads and disable and re-enable thetrouble's autoload state and error messages appear. New errors even appear after this point.

### Minimal reproduction project

[repro.zip](https://github.com/godotengine/godot/files/11747339/repro.zip)

if (clear_data == nullptr) {
		clear_data = &data;
		is_root = true;
	}
	RBSet<GDScript *> must_clear_dependencies = get_must_clear_dependencies();
	for (GDScript *E : must_clear_dependencies) {
		clear_data->scripts.insert(E);
		E->clear(clear_data);
	}
	for (const KeyValue<StringName, GDScriptFunction *> &E : member_functions) {
		clear_data->functions.insert(E.value);
	}
	member_functions.clear();
	for (KeyValue<StringName, MemberInfo> &E : member_indices) {
		clear_data->scripts.insert(E.value.data_type.script_type_ref);
		E.value.data_type.script_type_ref = Ref<Script>();
	}
	for (KeyValue<StringName, MemberInfo> &E : static_variables_indices) {
		clear_data->scripts.insert(E.value.data_type.script_type_ref);
		E.value.data_type.script_type_ref = Ref<Script>();
	}
	static_variables.clear();
	static_variables_indices.clear();
	if (implicit_initializer) {
		clear_data->functions.insert(implicit_initializer);
		implicit_initializer = nullptr;
	}
	if (implicit_ready) {