Idk about them, but my transition experience was the opposite. Neither is free of animals who were never taught how to operate their bodies in a public space, but my men’s room experiences were gross way more often than my women’s room experiences are. And now that I share a single toilet bathroom with men at work again, piss in weird places all the time. I understand that there are some places where the women’s room is routinely worse, but the average has been the opposite in my experience.