AI has been the name for the field since the Dartmouth Workshop in 1956. Early heuristic game AI was AI. Just because something is AI doesn’t mean it is necessarily very “smart”. That’s why it’s commonly been called AI, since before Deep Blue beat Kasparov.
If you want to get technical, you could differentiate between Artificial Narrow Intelligence, AI designed to solve a narrow problem (play checkers, chess, etc.) vs. Artificial General Intelligence, AI designed for “general purpose” problem solving. We can’t build an AGI yet, even a dumb one. There is also the concept of Weak AI or Strong AI.
You are correct though, ChatGPT, Dall-E, etc. are not AGI’s, they aren’t capable of general problem solving. They are much more capable than previous AI technologies, but it’s not SkyNet (yet).