Yeah, they aren't so much "segregated," it's just that the men's is further back than the women's. I'm sure people who have been women their whole lives who are quite good and like to use the men's tees as well.
Another post was mentioning correct pronoun usage, and it made me wonder about the name Bruce vs Caitlyn. For example, with regard to the auto accident, it happened when Caitlyn had the name Bruce, was the police report changed to Caitlyn? To be clear, my question has nothing to do with gender, I'd be wondering the same thing if Bruce remained a man but legally changed his name to John.