Debating this with you is made very difficult by the fact we're arguing from different premises.
So far as I'm concerned the real Heather and imaginary Simone are not men but women and have/can have a birth certificate to prove it.
So now a piece of paper makes you a woman? There have been only around 5,000 GRC's issued in the UK so your view will be a bit of a blow to all those people who regard themselves as transmen or transwomen but don't have a GRC and a new birth certificate. And all those in the developing world whose births are never registered. Poor folk .... wandering around with no proof whether they are men or women.
You seem to be suggesting a 2 tier system in which those with a GRC are given preferential treatment. I think you'll find that unpopular in every quarter, except for certain people with GRC's.
Biological reality isn't 'a different premise'.
That's like saying 'It's very hard to argue with you about the shape of the Earth because we're coming to it from different premises'.
I come to it from the 'premise' that it's round. You come to it from the premise that if it can be made to look flat, or thinks it's flat, or has a piece of paper saying it's flat .... then it's flat. And if the consequences of that premise have repercussions for 50% of the population, tough sh*t for them...