The way to make women ad men equal with respect to the draft is to repeal the Military Selective Service Act, as supported by many feminists:

https://hasbrouck.org/draft/repeal.html

More on what femninists say about the dratt and draft registration: https://hasbrouck.org/draft/women/feminism.html

That's one possible approach, sure. If you're willing to blindly trust the unknown future to be fundamentally kind and uncontended.

It was always about all of men's privileges (on top of their own), and none of men's accountability.

There was a lawsuit about the constitutionality of only requiring men to register back during the first Trump administration that won at the District Court level but lost on appeal in the Fifth Circuit. SCOTUS declined to take the case at the time because Congress was considering changing the Selective Service System. Then Congress ultimately did nothing, and the same people are now suing the government again in a different circuit.