### 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)

if (!script_typed.is_null()) {
			emit_signal(SNAME("open_script"), script_typed);
		}
	} else if (p_id == BUTTON_VISIBILITY) {
		undo_redo->create_action(TTR("Toggle Visible"));
		_toggle_visible(n);
		List<Node *> selection = editor_selection->get_selected_node_list();
		if (selection.size() > 1 && selection.find(n) != nullptr) {
			for (Node *nv : selection) {
				ERR_FAIL_COND(!nv);
				if (nv == n) {
					continue;
				}
				_toggle_visible(nv);
			}
		}
		undo_redo->commit_action();
	} else if (p_id == BUTTON_LOCK) {
		undo_redo->create_action(TTR("Unlock Node"));
		if (n->is_class("CanvasItem") || n->is_class("Node3D")) {
			undo_redo->add_do_method(n, "remove_meta", "_edit_lock_");
			undo_redo->add_undo_method(n, "set_meta", "_edit_lock_", true);
			undo_redo->add_do_method(this, "_update_tree");
			undo_redo->add_undo_method(this, "_update_tree");
			undo_redo->add_do_method(this, "emit_signal", "node_changed");
			undo_redo->add_undo_method(this, "emit_signal", "node_changed");
		}
		undo_redo->commit_action();
	} else if (p_id == BUTTON_PIN) {
		if (n->is_class("AnimationPlayer")) {