Sadly, the Constitution is very vague on this point. They could impeach him for the color of his tie if they wanted. What history would say about that vote is a secondary concern to them.

I’m pretty sure that even Preacher Speaker Johnson knows this is a political loser for them. It’s purely red meat for their base, and it’ll piss off the other two-thirds of the voting public. But given the dysfunction in the House right now, he might not have much choice.