

AI isn’t even trained to mimic human social behavior. Current models are all trained by example so they produce output that would score high in their training process. We don’t even know (and it’s likely not even expressable in language) what their goals are but (anthropomorphised) are probably more like “Answer something that humans that designed and oversaw the training process would approve of”
But by that definition passing the Turing test might be the same as super human intelligence. There are things that humans can do, but computers can’t. But there is nothing a computer can do but still be slower than humans. That’s actually because our biological brains are insanely slow compared to computers. So once a computer is better or as accurate as a human it’s almost instantly superhuman at that task because of its speed. So if we have something that’s as smart as humans (which is practically implied because it’s indistinguishable) we would have super human intelligence, because it’s as smart as humans but (numbers made up) can do 10 days of cognitive human work in just 10 minutes.