I think "stochastic parrot" misses the mark as a characterization of LLMs, but so does "artificial intelligence." They're both somewhat helpful and somewhat misleading in complementary ways.

Maybe that's the best one can do when describing something very new and strange. A series of vivid, incompatible metaphors might be the best guide for a while. "Intelligence" as we normally understand it is a significant overstatement, while "parrot" is a massive understatement.