I see it this way. Men have fully formed, impregnable rights. Sure, many men are precarious (mental health, homelessness, poor education and prospects etc), but as a rule, men have it made. Doubly reinforced by the fact that men have such lack of precariousness that they literally expect women to accept any ID they choose.
Facing them are women, way more precarious, full rights only achieved for decades not centuries or millenia, and at risk of pushback, such a period being right now.
These two groups are on a cliff edge, the men on the solid stable side, the women with their back to the sheer drop, scrambling for footing on the crumbling edge. As it has been for decades, despite women getting grippier boots to attain some balance.
Now the transwomen have arrived, just requesting equal treatment, and for women to budge up. Unfortunately budging up requires women to take a big step backwards, where there is no more ground. Only one way at that point.
So sure, we can all do the both sides dance, but this is the reality, women don't maintain their place of relative security, no the "balance" the TRAs require obligates women to give ground by moving backwards. And since precariousness was already built into the previous position, collapse of the female sex class can be the only result.
Never give way when you're on unstable ground with you're backing into oblivion.