Bathrobes!?!? When I was growing up it was a towel, if we were lucky! Seriously. I’ll put of a towel, or a pair of boxer shorts, and that’s that. Modesty schmodesty!
So, in response to your OP, no, it wouldn’t bother me. Nudity has never been a big issue for me, and honestly I can only think of a few friends with whom that scenario might be uncomfortable, but that’s because I know they would have a hard time being naked around other men.