### 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)

p_extensions->push_back("gd");
}
bool ResourceFormatLoaderGDScript::handles_type(const String &p_type) const {
	return (p_type == "Script" || p_type == "GDScript");
}
String ResourceFormatLoaderGDScript::get_resource_type(const String &p_path) const {
	String el = p_path.get_extension().to_lower();
	if (el == "gd") {
		return "GDScript";
	}
	return "";
}
void ResourceFormatLoaderGDScript::get_dependencies(const String &p_path, List<String> *p_dependencies, bool p_add_types) {
	Ref<FileAccess> file = FileAccess::open(p_path, FileAccess::READ);
	ERR_FAIL_COND_MSG(file.is_null(), "Cannot open file '" + p_path + "'.");
	String source = file->get_as_utf8_string();
	if (source.is_empty()) {
		return;
	}
	GDScriptParser parser;
	if (OK != parser.parse(source, p_path, false)) {
		return;
	}
	for (const String &E : parser.get_dependencies()) {
		p_dependencies->push_back(E);
	}
}
Error ResourceFormatSaverGDScript::save(const Ref<Resource> &p_resource, const String &p_path, uint32_t p_flags) {