### 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)

while (node && node != tree->get_root()) {
				node->set_collapsed(false);
				node = node->get_parent();
			}
			item->select(0);
			item->set_as_cursor(0);
			selected = p_node;
			tree->ensure_cursor_is_visible();
		}
	} else {
		if (!p_node) {
			selected = nullptr;
		}
		_update_tree();
		selected = p_node;
	}
	if (p_emit_selected) {
		emit_signal(SNAME("node_selected"));
	}
}
void SceneTreeEditor::_rename_node(Node *p_node, const String &p_name) {
	TreeItem *item = _find(tree->get_root(), p_node->get_path());
	ERR_FAIL_COND(!item);
	String new_name = p_name.validate_node_name();
	if (new_name != p_name) {
		String text = TTR("Invalid node name, the following characters are not allowed:") + "\n" + String::get_invalid_node_name_characters();
		if (error->is_visible()) {
			if (!error->get_meta("invalid_character", false)) {
				error->set_text(error->get_text() + "\n\n" + text);
				error->set_meta("invalid_character", true);