### 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 (num_groups >= 1) {
			msg_temp += TTRN("Node is in this group:", "Node is in the following groups:", num_groups) + "\n";
			List<GroupInfo> groups;
			p_node->get_groups(&groups);
			for (const GroupInfo &E : groups) {
				if (E.persistent) {
					msg_temp += String::utf8("•  ") + String(E.name) + "\n";
				}
			}
		}
		if (num_connections >= 1 || num_groups >= 1) {
			if (num_groups < 1) {
				msg_temp += "\n";
			}
			msg_temp += TTR("Click to show signals dock.");
		}
		Ref<Texture2D> icon_temp;
		SceneTreeEditorButton signal_temp = BUTTON_SIGNALS;
		if (num_connections >= 1 && num_groups >= 1) {
			icon_temp = get_theme_icon(SNAME("SignalsAndGroups"), SNAME("EditorIcons"));
		} else if (num_connections >= 1) {
			icon_temp = get_theme_icon(SNAME("Signals"), SNAME("EditorIcons"));
		} else if (num_groups >= 1) {
			icon_temp = get_theme_icon(SNAME("Groups"), SNAME("EditorIcons"));
			signal_temp = BUTTON_GROUPS;
		}
		if (num_connections >= 1 || num_groups >= 1) {
			item->add_button(0, icon_temp, signal_temp, false, msg_temp);
		}