Hey, EC, do women get to use their choice of latrines on British Military bases?
They do indeed! In barracks, they can choose between the ones without running water or the ones without paper, same as the men.

In seriousness though, some barracks and bases have dedicated, some have unisex, depending on the regiment. My regiment has unisex latrines everywhere except the offices (for the civvie workers, who wuss out a bit about sharing) and mess hall. The mess hall latrines aren't officially split male/female, but two are trough only, the other two have stalls. That holds for all our home barracks.