The Oxford English Dictionary defines AI as: "The capacity of computers or other machines to exhibit or simulate intelligent behaviour".
I think GPT-4 clearly fits that, so I think the burdon is on you to show that the public has some other widely used definition of AI. Certainly, people seem entirely willing to describe their phone searching for pictures using facial recognition to be an instance of AI, which I would argue is probably further from your definition than GPT-3 is.
Yes, and chess engines are commonly referred to by lay people as "chess AIs". The general population has a far more generous definition of AI than the typical HN user does.
I think GPT-4 clearly fits that, so I think the burdon is on you to show that the public has some other widely used definition of AI. Certainly, people seem entirely willing to describe their phone searching for pictures using facial recognition to be an instance of AI, which I would argue is probably further from your definition than GPT-3 is.