Not really.

Women are, as a whole, pretty cool with being in close proximity to other women in compromising situations.

I will say this, though... I usually won't take a poo if there's someone else in the bathroom. It's kind of embarrassing. I know that makes me a retard, but I've heard some scary sounds coming from a stall adjacent to my own, and I would never want to put another human being through that kind of laughing fit... could be dangerous.