I'm all for gender neutral stuff, but that stops with bathrooms. The main reason I'm not in favour is probably because of this random old guy that cornered my older sister in the gender-neutral bathroom (the place where she was at the time had them), and it got me thinking. The thing is, if cis women (or even transwomen) need to run from a creepy stranger, they normally aim for the bathroom. However, if there were only gender neutral bathrooms, they have nowhere to go.
Also vice versa, where cis men or transmen are running from a creepy stranger of the opposite sex.