I imagine if I was hiring someone to play in a band or sing in a choir it would probably be a good idea to ask them to play or sing a bit before extending an offer. If I was hiring someone to work at plumbing company, I'd probably ask them a "How would you fix..." type question or two.
Saying that these questions are forbidden just because you are sometimes tired of doing them strikes me as unreasonable. While, of course, you get to decide what signals would make a company a bad fit for you - e.g. if I asked you my question you might think my company would be a bad fit for you, the interviewer decides which answers are a bad fit for the company. I would definitely take an answer like this as indicating a bad fit for the company.
This line from your comment is interesting to me though: "I've seen people actively be wrong in what they're looking for, as in technically wrong and therefore I failed". I frequently ask questions where I expect the candidate to want to clarifications or challenge what I'm saying. That's part of my job, and I'm trying to test for it the best way I know how. If you're happy with your job interviewing performance, then more power to you, but if you aren't - you may consider changing how you think about instances where the interviewer is wrong. Perhaps they are presenting opportunities for you to engage with them in a productive way, and even if they aren't doing so intentionally, maybe they are doing so unintentionally.