LLMs can't reason with self-awareness. Full stop (so far). This distinguishes them from human sentience and thus our version of intelligence completely, and it's a huge gulf, no matter how good they are at simulating discourse, thought and empathy, or at pretending to think the way we do. While processing vast reams of information for the sake of discussion and directed tasks is something an LLM can do on a scale that leaves human minds far behind in the dust (though LLMs fail at synthesizing said information to a notably high degree) even the most ordinary human with the most mediocre intelligence can reason with self awareness to some degree or another and this is, again, distinct.
You could also argue around how our brains process vast amounts of information unconsciously as a backdrop to the conscious part of us being alive at all, and how they pull all of this and awareness off on the same energy that powers a low-energy light bulb, but that's expanding beyond the basic and obvious difference stated above.
The Turing test has been broken by LLMs, but this only shows that it was never a good test of sentient artificial intelligence to begin with. I do incidentally wish Turing himself could have stuck around to see these things at work, and ask him what he thinks of his test and them.