It's clearly bollocks, overwhelmingly retailed by men.
I say this often, but in all my years on the planet I've known precisely one transwoman who passed well. Not perfectly, but well enough that, if you weren't looking for signs that they were trans, you'd read them as a tallish woman with a husky voice. These days, of course, we'd be more alert to the signs.
Every other transwoman I've known - and it gives me no pleasure to say this, I'm including a few friends here - it sticks out a mile. Women haven't noticed them and women haven't challenged them are not the same thing, and TRAs seem incapable of recognising the difference. Or maybe they do know the difference but won't admit it.
Women with short hair being accosted in the loo is not a thing. Lots of men seem very invested in the idea though.