It's safe to say that argument has collapsed utterly. Modern LLMs virtually never collapse into endless babbling loops. Far more importantly, they solve objectively hard problems. An LLM didn't merely inspire a mathematician to spot a counterexample to the Jacobian Conjecture that had been in front of his nose the whole time; it found the counterexample. These things are unquestionably generating meaningful outputs.
(That obviously doesn't mean that you can simply trust LLM outputs!)
At this point, trying to dunk on frontier models by calling them "stochastic parrots" is saying more about you than about the models. Moreover, it suggests you're not only out on a limb about the capabilities of LLMs, but also on what even the skeptic literature about it was saying.
You should know what "stochastic parrot" actually meant; you shouldn't be using the term just because you think it sounds snazzy.