“Intelligent” is itself a highly unspecific term which covers quite a lot of different things.

What you’re think is “reasoning” or “rationalizing”, and LLMs can’t do that at all.

However what LLMs (and most Machine Learning implementations) can do is “pattern matching” which is also an element of intelligence: it’s what gives us and most animals the ability to recognize things such as food or predators without actually thinking about it (you just see, say, a cat, and you know without thinking that it’s a cat even though cat’s don’t all look the same), plus in humans it’s also what’s behind intuition.