You’re mistaken, we do have a rubric. All of the members of the interview team grade the interviewee according to the rubric, and the scores are then combined into “votes”.
That's good. I'm responding to "Not having multiple human opinions and a hiring discussion/vote/consensus is a red flag". I think having combined scores is an own-goal, but having people vote based on their opinions is something worse than that (if you're having people do work samples).