I've always thought that public conveniences should be unisex. I remember when helping to plan a new small public building where there were to be only three adult toilets, the planners thought that one should be designated male and two female even though over 90% of the adults using the building were women! We soon disabused them of that idea and made them unisex!
Surely others apart from myself have used women's loos which have been left in a filthy state? Cleaning & drying the seat before use, flushing the loo before you can even think of doing anything, pushing aside dropped wrappers from tampons, etc. And surely I'm not the only person who has had to try to dry the floor before I dare to drop my trousers or alternatively somehow keep them hoicked up round my knees!
Having lived with a few males in my house, I was personally always relieved when I entered the toilet and found the seat up. It did at least mean that they hadn't just taken aim through the seat and hoped for the best!
I would like to believe that we women would, after the initial shock of the new, have a civilising effect on the menfolk's use of toilets. For a start it would, at last, mean equal queuing rights for both sexes. It would also save those awful moments when you have to let a boy child go to the men's loos and you lurk wait outside the door just incase - or was it just me? It's not only women that can get assaulted in toilets.
As long as they are designed with good partitions with handwashing and other facilities in each cubicle, I can't see the problem. And it stops the endless bickering, posturing and moral panic in the media about where a transsexual can go to the toilet!