Hmmm.. gender neutral bathrooms. I said before I thought it was "a bit silly." I'm not sure of my stance on that. I've used them before and they haven't posed any real problems as such. But I know people who would be devastated by such a move. My (male) partner would be one. He already has a near phobia about public toilets, adding women to the equation would only make it worse. He already pretends just to wash his hands if he walks in and there is already someone using the toilets. If he is desparate, he'll go in the cubicle, but he hates that coz he has to touch the door and stuff... he'll put paper in the bowl to stop it making noise... doing a crap is out of the question...
At uni, I found that men like to do big hocking noises when they shower, I didn't find that particularly nice when I was trying to get clean... yet I dealt with it... meanwhile, with about 30 people on each floor who shared the shower block, and about 5 floors had access to each others floors, there were no incidents when I was there of anyone trying to peer into anyone's cubicle or the like.
So I'm looking back at that time, and thinking, were there any lessons there? And perhaps, the men were even more respectful of the privacy of women in the bathroom than they would have been had the bathrooms been some kind of off-limits no-go-zones... where people always want what they can't have... they didn't want us peering into theirs either... we were all just humans living in the same space trying to get on with whatever we needed to do... I can only guess at how the men found it, but on balance it was probably a good thing.
On the other hand, I lived in a share house where one guy consistently pissed on the seat... That wasn't even public...
So all I have here are a series of personal experiences, I think there was a benefit at uni, a more shared humanity, a more equal equality, on the other hand these things are very personal and involve the physical differences between men and women.
Overall, I lean towards supporting gender-neutral toilets, it is a little confronting at first but it does break down differences.