No. You've thoroughly thrashed that strawman, well done.
I asked a question. Thank you for answering it.
If gender identity were considered a protected class by the SCOTUS, policies that were specifically discriminatory to people of that protected class would not be lawful. It's a fairly simple point, and one I suspect you understand quite well.
In my state, gender identity is considered a protected class by the state supreme court, so policies that are specifically discriminatory to people of that protected class are not lawful.
There was a public referendum on that law, the only one ever to take place anywhere. I voted with the majority to uphold it. That means I personally have done more than anyone here, unless they're a legislator or litigator involved with the issue or perhaps a very prominent activist, to affirm trans rights. You're welcome.
However, accommodation for a protected class only has to go so far. I can visualize a design for a urinal that a person in a wheelchair could use. It would be rather large, elaborate, and expensive, but it would remove the necessity to shift from the wheelchair to a toilet seat, which can be quite difficult (believe me, I have professional experience in the care of intellectually disabled wheelchair-bound adults). If I can visualize the basic design, I'm sure a good engineer could perfect it. (They might even already exist.) But I've never seen one in any public men's room. Why? Because it is not necessary to use a urinal to make the full intended use of the facilities. The toilet is sufficient, even if it's less convenient than some hypothetical ideal solution for wheelchair users. Nor does the lack of such equipment in the rest room constitute license for wheelchair-bound men to wiz on the floor instead.
Now, whether or not showing a penis in a women's changing room has now been specifically established as a right here has not been tested in court. In the absence of any previously established carry-over right to do so, it could be argued either way, and the "no" argument would be that just as for using urinals in mens rooms, it's not necessary to show ones lady penis in a changing room to make use of the facilities for their intended purposes. The court might not agree that not having a special dispensation to do so is an excessive burden, even if it makes some people unhappy. (I've also noticed that some store shelves are built quite high and difficult for a disproportionate percentage of women to reach, with nary a discrimination lawsuit in sight.)
There have been very few troublesome cases of that nature in our court system as a result of the trans rights law, by the way. It's almost as though people who feel more secure in their basic rights are more likely to be
considerate about exercising them.