Steve, I'm noticing that you are having an increasingly difficult time treading lightly in the face of absurdity. I understand it, but you know...
Years ago, driving from Sedona to Phoenix we stopped at Sunset Point to use the WC. When my sister came back to the vehicle, she said that as she entered the lady's room there was a very Butch lady there and she loudly said, "Oh my God!", thinking that she had entered the men's room. AWKWARD! It was clear that the other lady knew what that was about, but I have no doubt that they both thought that they both belonged in the lady's room.
I understand that it's a painful dilemma for transexuals. Before I retired there was a big stink in our main facility because the women didn't want a trans-woman in their restroom. I don't know how it was resolved. The lady's room does not have urinals, there would be no meat peeping or flashing. They had individual stalls with private thrones. I would think that since it wasn't the shower room at the gym that privacy could exist, and it could have been resolved with the trans-lady using the lady's room but I'm not a woman so it's not up to me. It's not like the trans-woman would want to risk being fired and worse for an impropriety.
While I've stood at a urinal next to a kathoey in Thailand, even though he was spectacularly passing until there we stood, he was not transexual. A transitioning, live as a woman, transexual would probably prefer a stall to an unabashed hiked skirt at a urinal.
The theme throughout what I've just written is honesty. That seems to be the impasse with Rob.