“But they have to vote on that to do it. “
No, they don’t.
They can choose to operate entirely without any rules, ignoring all past rules, and never hold a vote on it.
And there’s no authority on earth that can say otherwise.
Well, except the voters. And each House member must face the voters every two years.
Then if they choose to just ignore the existing rules then it will be the end of any house procedural rules. Because in your scenario all established procedural rules do is limit the party in power setting them. Thus, why have them at all. Not disagreeing with you here on the reality of a pure power play, just mourning the death of the republic.