I wouldn't be so sure about that. The first AI joke in history was "horses go to Hayvard". It is a perfectly functional joke. That was many years ago by Google's gpt-like chat bot. I am sure gpt 3 and chat gpt have gotten way more capable of this and there must be tons of examples of jokes they made which were actually legitimate jokes unlike what's in the OP

Also, common sense isn't easy and attempts to codify or turn the logic into anything other than what a neural net naturally does, haven't been very successful (as far as I know). The only reason common sense benchmarks got better was because the whole neural net just got better.