### 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.
ClassDB::bind_method(D_METHOD("_update_obj"), &AnimationTrackKeyEdit::_update_obj);
	ClassDB::bind_method(D_METHOD("_key_ofs_changed"), &AnimationTrackKeyEdit::_key_ofs_changed);
	ClassDB::bind_method(D_METHOD("_hide_script_from_inspector"), &AnimationTrackKeyEdit::_hide_script_from_inspector);
	ClassDB::bind_method(D_METHOD("_hide_metadata_from_inspector"), &AnimationTrackKeyEdit::_hide_metadata_from_inspector);
	ClassDB::bind_method(D_METHOD("get_root_path"), &AnimationTrackKeyEdit::get_root_path);
	ClassDB::bind_method(D_METHOD("_dont_undo_redo"), &AnimationTrackKeyEdit::_dont_undo_redo);
	ClassDB::bind_method(D_METHOD("_is_read_only"), &AnimationTrackKeyEdit::_is_read_only);
}
void AnimationTrackKeyEdit::_fix_node_path(Variant &value) {