HH only stating the settled policy. Women are women and individuals with that GRC. This is the mantra and truism for the Labour Party, and how it'll be in govt.
Even now an individual with a GRC can't be compelled to show one, so for everyday purposes, anyone can access a female space.
It's not like barstaff in a pub or bouncer outside a club having the right to demand you show ID if you look much younger than 25.
No woman in a swimming pool or gym or changing room or refuge or book club or dating service will be able to politely request, let alone demand, showing of a GRC.
And even if this was possible, the fact that a Labour govt will make it so much easier to acquire one, means the whole thing is so meaningless.
So HH is right. Once Labour are in charge, a woman is a woman or a GRC holder. And of the latter, many more will be in the next few years. And many more won't even have one, but play on the fact no-one's checking, indeed, can't check.
HH may have hit the skids with PIE, but a half century later, she's helped engineer a situation that is equally dramatic and corrosive of the social fabric. The very essence of progressivism.