Of course it's framed as an attempt to dismantle oppression because what else are they going to do? Plainly say, "You're worried about rape? Frankly, my dear, I don't give a damn"?
There was also the mindblowing attitude of somebody in the twitterverse that it was a grievous injury, likely to cause suicides!, that males couldn't get top surgery sooner because the surgeons were busy treating women with breast cancer. (twitter.com/Lachlan_Edi/status/1041939751639638017)
It's obvious that women aren't even furniture to these people, let alone human. You wouldn't destroy a footstool so casually. It might be useful at some point. I'm not sure you can call it a new binary when it's more of a monopole: Me and Nobody Else.
Interesting point about claim rights. Like liberty rights, though, that's a similar issue in terms of equal treatment, isn't it? Wheelchair access for instance, improves life for those users (as well as for everyone who pushes a pram, has rolling luggage, needs to wheel in a bicycle, etc etc) without depriving stair-climbers of access. The two kinds of access are not mutually exclusive. Yes, there's the expense, but that's no different from, say, the state funding the military because it has some critical benefit to some people some of the time. Or from the NHS funding eyeglasses that not everyone needs.
The TRA attitude about access doesn't meet that test. It deprives women of a safer environment while not providing trans-identified males with anything they can't find by other means.