A friend of mine worked for a call center that did car rentals, old people would call them and ask to rent a car.
Maybe the AI system should have "Press 1 to talk to AI, press 2 to leave a message" so experts like you can press 2.
Even if the new model that came out last week totally fixed all the problems this time for real, most people's experience with chatbots is that they are prone to misunderstanding or making false statements. "Hallucinations"
I have yet to experience any degree of confidence in any output from an LLM, so I'd rather leave the message. I don't know how common this point of view is.