From what I've read/watched of Chomsky he's holding out for something that truly cannot be distinguished from human no matter how hard you tried.
I’m perfectly willing to bet that there are LLMs that can pass a Turing test, even against a mind like Chomsky.
He wants to understand how human language works. If I get him right — and I'm absolutely sure that I don't in important ways — then LLMs are not that interesting because both (1) and (2) above are true of them.