Ridiculous question. If I can’t wear my Shabbos hat in the bathroom, then what about my Shabbos shoes, shirt, tie etc. Do some hats have keduusha that I’m not aware of?
Not ridiculous at all.
You’re failing to make an important distinction. It’s not the fact that its your *Shabbos* hat or *Shabbos* shoes — its the fact that it’s your *tefillah* hat that’s at issue.
The Wolf
(Note: I don’t know what the actual halacha is and, as I don’t wear a hat, it doesn’t affect me one way or the other. I’m merely pointing out why Shabbos clothes might be different to some posters in this thread than clothes that are set aside for davening.)