Let’s say that you knew for certain (somehow) that a candidate did have ChatGPT write their post. Would that make you question their candidacy?
Posts written by LLMs are pretty clear. Certainly no one would suggest that there is anything wrong with using spell check, because the function of spell check is to convey your own ideas more clearly.
I think that comparing this with LLMs with a false equivalency. ChatGPT-written posts are representing computer-generated words as their own original thought. Why would I want to vote for a candidate who cannot think for themselves?