I've been thinking about this since I saw the OP a while back accusing everyone who doesn't identify as Barbie of actually being a man. It got me thinking, if 'woman' now means 'Barbie circa 1970' and anything non-Barbie is male, no matter how many Barbie boxes are ticked, could we just concede the fight over terminology and make a new term? After all, it's not about stereotyping or pink, fundamentally the question that should separate us, as far as I can see, is 'Do you have a vagina?' I'm aware some MtF trans people have their penises removed and vaginas created out of them, but imo anyone willing to do that can share women's facilities as they're clearly very committed (and as far as I can tell there aren't many of them).
Could we do all equality statistics, all separated spaces, sporting events etc on the basis of vagina/no vagina? Let people with penises call themselves women if they like but they're going to need to use the no-vagina changing rooms? And you can switch between male/female (read non-Barbie/Barbie) twenty times a day if you like but for equality statistics and sporting events you're a no-vagina or a vagina-haver (we'd have to come up with catchier names though).
Have I totally missed the point?