### 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 (p_valid.is_empty()) {
		return;
	}
	tree->set_valid_types(p_valid);
	HBoxContainer *hbox = memnew(HBoxContainer);
	content->add_child(hbox);
	content->move_child(hbox, 0);
	{
		Label *label = memnew(Label);
		hbox->add_child(label);
		label->set_text(TTR("Allowed:"));
	}
	HFlowContainer *hflow = memnew(HFlowContainer);
	hbox->add_child(hflow);
	hflow->set_h_size_flags(Control::SIZE_EXPAND_FILL);
	for (const StringName &type : p_valid) {
		HBoxContainer *hb = memnew(HBoxContainer);
		hflow->add_child(hb);
		TextureRect *trect = memnew(TextureRect);
		hb->add_child(trect);
		trect->set_expand_mode(TextureRect::EXPAND_IGNORE_SIZE);
		trect->set_stretch_mode(TextureRect::STRETCH_KEEP_ASPECT_CENTERED);
		trect->set_meta("type", type);
		valid_type_icons.push_back(trect);
		Label *label = memnew(Label);
		hb->add_child(label);
		label->set_text(type);
		label->set_auto_translate(false);
	}
	show_all_nodes->show();