### 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)

return OK;
	}
#endif
	{
		String source_path = path;
		if (source_path.is_empty()) {
			source_path = get_path();
		}
		Ref<GDScript> cached_script = GDScriptCache::get_cached_script(source_path);
		if (!source_path.is_empty() && cached_script.is_null()) {
			MutexLock lock(GDScriptCache::singleton->mutex);
			GDScriptCache::singleton->shallow_gdscript_cache[source_path] = Ref<GDScript>(this);
		}
	}
	bool can_run = ScriptServer::is_scripting_enabled() || is_tool();
#ifdef TOOLS_ENABLED
	if (p_keep_state && can_run && is_valid()) {
		_save_old_static_data();
	}
#endif
	valid = false;
	GDScriptParser parser;
	Error err = parser.parse(source, path, false);
	if (err) {
		if (EngineDebugger::is_active()) {
			GDScriptLanguage::get_singleton()->debug_break_parse(_get_debug_path(), parser.get_errors().front()->get().line, "Parser Error: " + parser.get_errors().front()->get().message);
		}
		
		_err_print_error("GDScript::reload", path.is_empty() ? "built-in" : (const char *)path.utf8().get_data(), parser.get_errors().front()->get().line, ("Parse Error: " + parser.get_errors().front()->get().message).utf8().get_data(), false, ERR_HANDLER_SCRIPT);
		reloading = false;