Yes. If the principle is adhered to, I would be more interested in the committee having broader consensus on the mechanics than on any particular mechanics.
If you decide, based upon your previous question, to put in a rule that once a committee chair is deposed, he cannot run for re-election, I'd be fine with that. If you decide that he could run in endless loops of elections, I'd be fine with that. If you had a two-strikes rule and he would be out, I'd be fine with that, the same as I would be fine with it if you wanted to tier committee elections or have them all in one day.