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.
I don’t like open doors directly connected to where I’m sleeping, unless I’m just taking an afternoon nap and someone else is awake in the house. We keep the bathroom door closed enough to just before the doorknob latches, so it isn’t noisy opens/closes the door when using the bathroom in the middle of the night.