### Godot version

4.1???- 4.1.beta1 - 4.1.beta3 - 030c1a950e8cee19e72104b4fb79caba17a2d678

### System information

Tested only Linux versions.

### Issue description

**Regression from 4.0.3.stable:**
In the editor UI set the  `Node->process_mode` to `Disabled` or `When Paused`-> in the scene editor the subtree is grayed out. Save the scene and close the editor. 
It doesn*t need to be the current scene. 
Start it again, the subtree in the scene is no longer gray. The *.tscn file is updated correctly, e.g.:
```
  [node name="Node2D" type="Node2D"]
+process_mode = 4
```
 Workaround is to toggle the process mode again,
 close and open or reload the scene,
(or disable the `interface/scene_tabs/restore_scenes_on_load` option ...)

### Image gallery
![image](https://github.com/godotengine/godot/assets/4047289/b6a90b34-c9ec-4380-b953-f1e64cf72934)
![image](https://github.com/godotengine/godot/assets/4047289/978d4ab1-553b-49e6-bb76-6b18c22a942b)
![image](https://github.com/godotengine/godot/assets/4047289/4254f160-75d5-4186-9802-53b487d8d2f3)

return (script_types->find(p_type));
}
bool SceneTreeEditor::can_drop_data_fw(const Point2 &p_point, const Variant &p_data, Control *p_from) const {
	if (!can_rename) {
		return false; //not editable tree
	}
	Dictionary d = p_data;
	if (!d.has("type")) {
		return false;
	}
	TreeItem *item = tree->get_item_at_position(p_point);
	if (!item) {
		return false;
	}
	int section = tree->get_drop_section_at_position(p_point);
	if (section < -1 || (section == -1 && !item->get_parent())) {
		return false;
	}
	if (String(d["type"]) == "files") {
		Vector<String> files = d["files"];
		if (files.size() == 0) {
			return false; //weird
		}
		if (_is_script_type(EditorFileSystem::get_singleton()->get_file_type(files[0]))) {
			tree->set_drop_mode_flags(Tree::DROP_MODE_ON_ITEM);
			return true;
		}
		bool scene_drop = true;
		for (int i = 0; i < files.size(); i++) {