Especially if there is proof that GOP knew and nominated/protected him anyway, they may see it as a lost cause anyway. They’re gonna lose the House and control of the Senate is looking iffy. Once Congressional investigations happen in seriousness, and Mueller rolls along, they may lose their chances of nominating and confirming a justice again for a decade.
Perhaps just wishful thinking on my part. But if they are considering that, they may view this as their last chance to “keep” the judiciary.
I also think that any women who’re still voting GOP are of the “she should’ve said something before / this is just boys being boys” variety. By this point, the GOP attitude towards women is clear. If they could vote for Trump, a known sexual predator who lusts after his daughter, why would they punish GOP over Kavanaugh?