And LLMs belong to this subset. They're largely built using supervised machine learning.
But also, "AI" is polysemous. There's "AI" the academic field, and machine learning is a subset of that field. But there's also "AI" the marketing term, which is much more well-known nowadays. And for that meaning of the term, it's the other way around -- it's a subset of machine learning.
Under either definition, though, I agree it doesn't make much sense to talk about them as if they are two different things, because either way one is just a particular kind of the other.