Suppose a "parrot" factors a product of two 2048 bit primes? Is it still an entity without understanding of the processes considering the search space size?
So, examples of "Look, it did this!" mean nothing to me. What matters is their internal systems.
So it absolutely has experiential knowledge of words but not of the actual things.
(You can absolutely train models on other inputs. I have no objections to those not being stochastic parrots)
But if your claim is at least that you are fine with thinking AI's that also include physical training are not stochastic parrots, then thats good enough for me.