There's no reason they can't. In fact LLMs do seem to be the best at artificial general-purpose reasoning of any attempt so far (pretty much every other attempt

There's no reason they can't. In fact LLMs do seem to be the best at artificial general-purpose reasoning of any attempt so far (pretty much every other attempt has failed miserably). That doesn't mean they're particularly good compared to humans, though. I'd characterize them as very high knowledge, low intelligence.