### 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)

RBSet<GDScript *> dependencies = get_dependencies();
	RBSet<GDScript *> must_clear_dependencies;
	HashMap<GDScript *, RBSet<GDScript *>> inverted_dependencies;
	for (GDScript *E : dependencies) {
		inverted_dependencies.insert(E, E->get_inverted_dependencies());
	}
	RBSet<GDScript *> cant_clear;
	for (KeyValue<GDScript *, RBSet<GDScript *>> &E : inverted_dependencies) {
		for (GDScript *F : E.value) {
			if (!dependencies.has(F)) {
				cant_clear.insert(E.key);
				for (GDScript *G : E.key->get_dependencies()) {
					cant_clear.insert(G);
				}
				break;
			}
		}
	}
	for (KeyValue<GDScript *, RBSet<GDScript *>> &E : inverted_dependencies) {
		if (cant_clear.has(E.key) || ScriptServer::is_global_class(E.key->get_fully_qualified_name())) {
			continue;
		}
		must_clear_dependencies.insert(E.key);
	}
	cant_clear.clear();
	dependencies.clear();
	inverted_dependencies.clear();
	return must_clear_dependencies;
}
bool GDScript::has_script_signal(const StringName &p_signal) const {