They almost have to if they don't want their entire future destroyed by being labeled *transphobic*.
This is going to turn people who might be ambivalent to the whole trans thing into people who oppose it vehemently.
It's going to backfire on the libs and trannies.
I think you are right. If you watch the video on the linked tweet, at the end of the race the girls walk off with a look of disgust that they were cheated and nobody will stand up for them and they can't even complain without being attacked. This is supposed to make them like trannies? They may not say it out loud but in their hearts they will resent it and they should. The trannies are overreaching with this stuff, it's one thing to say "why can't I use a bathroom where I'm safe from abuse of meanie men?" It's another to say "I'll just take all your opportunities for myself, thanks".
If they lose the support of women in this, they are in deep yogurt regarding the plan to make men all want to go get our eyebrows waxed and be our fiercest selves and women to cheer for it. Because it was support from suburban white women gave the gays all their big success in the last 10 years and they are needed again in order for the trannies to take over the culture next.