To me it shouldn’t matter, but it feels weird having the bathroom door open all the time. Also my shower sometimes does a midnight clunk for no obvious reason and it’s loud.
I never really thought about it until now, since I’ve never lived in a “master bedroom” with attached bathroom until now. Still on the fence, leaning towards keeping it open for convenience and airflow/dehumidification more than anything. Obviously I shut it after things get smelly.
Open, because there’s a window in there and it’s the only way to generate a through breeze if I have it open and the one in the bedroom. If I were to keep the bedroom door open the dog paces back and forth all night.