But the issue is the same, individual privacy or not. It is not different. Growing up and visiting Europe, I remember all gender group bathrooms where a woman would sit in the bathroom all day and monitor activity charging different rates to use toilets, urinals, and hand towels. In Europe at the time, they simply viewed everyone as human...
However, once we begin to draw distinctions and recognize privacy as a right, the European solution of the past is no longer appropriate. And after the individual right to privacy was established under Roe v Wade more than 50 years ago, that ruling has slowly been incorporated into other laws and regulations to protect individual privacy.
The LGBTQ+ "rights" movement has pushed this debate into the area of bathroom and locker rooms, much the HIV pandemic did with medical records and HIPPA law.
I ran a large physician group with hundreds of physicians and nearly 3 million patients. I am very familiar with the impact that hormonal changes can have on biology as well as cognitive activities. But that is not the issue... the issue is whether society can impose its "privacy" criteria on individuals and violate their privacy rights... the answer is only if accommodation is not possible and that is increasingly not the case.
You are arguing that trans women on HRT are no longer biological men. But neither are they fully biological women, there are cellular differences that no amount of HRT can change. But regardless of that fact, there are those that claim there are over 30 distinct genders (the link below says over 107). So, do you get decide which genders have to share a bathroom? Who gave you that right? The LGBTQ+ (notice the "+") movement opened the door to this issue and it is silly to think it will be solved with a different definition of "His" and "Hers" access privileges.
Now it is my turn to point out, that you need to educate yourself instead of taking an ideological position and then trying to support it with selected facts. If privacy is an individual right, then nothing you said is relevant. If privacy is a societal privilege, then society decides what privacy rights people have. You are arguing that privacy is a privilege and that sets "privacy" back decades, since it becomes a struggle between different identity groups with their own ideological baggage trying to determine what privacy "privileges" each identity groups has.
https://www.sexualdiversity.org/edu/1111.php
Using your example, if a trans woman on HRT dressed as a man and walked into a men's rest room would she be told to leave? Would a court uphold that, or could she argue that at the cellular level she still had one Y and one X chromosome? Keep in mind, any ideological debate has to be administrable under law... are you going to issue people medical cards they can show to prove they are receiving HRT therapy?
Meanwhile, it seems insensitive on your part as an example, to claim a male who does not want to share a bathroom because they have a medical condition like diphallia (two penises) should not have access to privacy and have to share a bathroom with other men.
You are exactly the person I referred to that has made bathrooms into an ideological issue based on gender rather than a human rights issue based on privacy. And you appear perfectly willing to deny some people privacy while insisting on the right to violate other people's privacy based on your standards of gender. That approach will not produce a long-term solution only long-term divisiveness triggered every time someone who does not fit the accepted biological sex criteria (based on cellular chromosome composition) commits an act of "trespass" against someone else in a bathroom or locker room.
For anyone reading these definitions are important. A "right" derives from the unalienable rights of life, liberty and the pursuit of happiness. In Roe v Wade, the Supreme Court declared that individual privacy was a human right related to the pursuit of happiness. This declaration has led to several laws unrelated to abortion to further "tease out" the meaning of making individual privacy a human right. In theory, government must try to accommodate each individuals' rights where possible. Where it is not possible, is where society must arrive at a solution, that the Supreme Court declares a reasonable compromise.
So, abortion laws that create a period where a woman has a "right to an abortion" and then switches to when the baby's right to life prevails is an example of that kind of compromise.