I don't really care. I've never understood the fascination people have with separating the genders when it comes to relieving one's self. When I really have to go, trust me. It doesn't matter which one's available. If I owned a business with public restrooms, that'd be what they were called: "restrooms." There'd be no men's, women's, trans', etc. (Please note that I do not differentiate between 'restrooms' and 'locker rooms,' either.)
Edit: and yes, if they were potty trained, you could bring in your pets, too. :-)