### Godot version

Godot 4.1-beta2

### System information

Manjaro Gnome, Intel Core i7-11800H

### Issue description

On a relatively modern laptop (Intel Core i7-11800H), in a scene with many scripted nodes (total of 900+ with roughly half of them scripted), adding or duplicating a node freezes the editor for several seconds. Godot 4.0.2 handles such scenes much better!

Here is a flame graph captured while repeatedly duplicating simple Marker2D nodes with Ctrl+D in a complicated scene:
![Screenshot from 2023-06-15 23-54-38](https://github.com/godotengine/godot/assets/2766569/d0019f17-9b82-4a26-9b47-71fa7a3bef3a)

Performance data file to use with hotspot v1.4.1 (relevant data starts at the 75-second mark and lasts about 20+ seconds):
[perf.data.perfparser.zip](https://github.com/godotengine/godot/files/11763700/perf.data.perfparser.zip)



### Steps to reproduce

1) Add 1000 nodes with a script attached.
2) Duplicate a node and witness lags.

Also affects scrolling the scene tree dock.

### Minimal reproduction project

[add_node_lags_repro.zip](https://github.com/godotengine/godot/files/11763731/add_node_lags_repro.zip)

int new_index = editor_data.get_edited_scene();
	int old_index = new_index;
	if (new_index > 0) {
		new_index = new_index - 1;
	} else if (editor_data.get_edited_scene_count() > 1) {
		new_index = 1;
	} else {
		editor_data.add_edited_scene(-1);
		new_index = 1;
	}
	if (p_change_tab) {
		_scene_tab_changed(new_index);
	}
	editor_data.remove_scene(old_index);
	_update_title();
	_update_scene_tabs();
}
void EditorNode::_remove_scene(int index, bool p_change_tab) {
	
	editor_data.clear_script_icon_cache();
	if (editor_data.get_edited_scene() == index) {
		
		_remove_edited_scene(p_change_tab);
	} else {
		
		editor_data.remove_scene(index);
	}
}
void EditorNode::set_edited_scene(Node *p_scene) {