No, women shouldn’t be in the men’s rooms either. You have an absolute right to privacy as much as women do. I only frame my discussion from my own point of view as a woman. Even when I was for women’s lib in the days when I wasn’t allowed to give a Zeiss Planetarium lecture because an audience wouldn’t accept a woman’s voice as authoritative in the dark, I wasn’t for women’s rights. I was always for equal rights in everything - divorce, child custody, etc. As for changing babies, women’s rooms often have changing tables. I wonder if the men’s rooms are going to get them now.
I’ve seen changing tables in several men’s rooms - in places like highway rest areas and even some of the Churches.
Although I don’t know how widespread they are.