### Godot version

4.0.dev

### System information

win11，core i7 13700,  GTX4090

### Issue description

Just look at this gif.

![screenshots](https://user-images.githubusercontent.com/1620585/225354749-6ea17059-95b2-45e0-9765-8505e92726eb.gif)

It seems that it was block by Static Type Checking.

![image](https://user-images.githubusercontent.com/1620585/225362874-507ff0ec-c6d8-4a25-9a16-89db1885ad02.png)

If it's right.

Why it doesn't just disable other option except for String and StringName?

### Steps to reproduce

1. first select string type
2. input a text
3. change type
4. change back to string  -- it don't work
5. change to stringname -- it works
6. change back to string -- it works

### Minimal reproduction project

I think it don't need reproduction project.
ERR_FAIL_COND(!root);
	
	Node *node = p_node;
	String path = root->get_path_to(node, true);
	if (Object::cast_to<AnimationPlayer>(node) && p_property == "current_animation") {
		if (node == AnimationPlayerEditor::get_singleton()->get_player()) {
			EditorNode::get_singleton()->show_warning(TTR("AnimationPlayer can't animate itself, only other players."));
			return;
		}
		_insert_animation_key(path, p_value);
		return;
	}
	EditorSelectionHistory *history = EditorNode::get_singleton()->get_editor_selection_history();
	for (int i = 1; i < history->get_path_size(); i++) {
		String prop = history->get_path_property(i);
		ERR_FAIL_COND(prop.is_empty());
		path += ":" + prop;
	}
	path += ":" + p_property;
	NodePath np = path;
	
	bool inserted = false;
	for (int i = 0; i < animation->get_track_count(); i++) {