If you do correct someone (a layperson) and say "it's not thinking", they'll usually reply "sure but you know what I mean". And then, eventually, they will say something that indicates they're actually not sure that it isn't thinking. They'll compliment it on a response or ask it questions about itself, as if it were a person.
It won't take, because the providers want to use these words. But different terms would benefit everyone. A lot of ink has been spilled on how closely LLM's approximate human thought, and maybe if we never called it 'thought' to begin with it wouldn't have been such a distracting topic from what they are -- useful.