If ChatGPT or Gemini output some incorrect statement, guess what? it is a hallucination, error or whatever you want to call it. treat it as such and move on. This pearl-clutching, I am concerned, will only result in the models being heavily constricted to the point their usefulness is affected. These tools -- and that's all they are -- are neither infallible nor authoritative, their output must be validated by the human user.
If the output is incorrect, the feedback mechanism for the prompt engineers should be used. it shouldn't cause outrage, just as much as a google search leading you to an offensive or misleading site shouldn't cause an outrage.