It’s shitty politics. Congressmen can stage any drama they want just like you or me.
You can set up your own unenforceable Obama impeachment hearing if you like.
It just won’t get any press.
Republicans refusing to go along and taking a vote saying as much because this is more than mere drama - it is at the very least highly unethical - would be noticed.
Then pound home to Americans how would they like being hamstrung by a District attorney or prosecutor, your lawyer was hamstrung, and so on.