I've always been kind of baffled why women would want gender neutral bathrooms. Men's bathrooms are fucking disgusting. The few times i've had to use a women's bathroom, they were always beautiful. They were clean, there wasn't shit smeared on the walls, there wasn't a dude standing next to me making conversation while staring at your dick. Not to mention, piss trenches. You've never had a real public bathroom experience until you've stood in a line of 20 dudes all pissing together into a trench built into the back wall of the bathroom.
I just don't understand why you'd wish access to this or would want your space turned into this.