I don't have strict definitions for any of the quoted terms because I don't think we really understand them yet.
It seems very possible that human generative content shares much in common with 'stochastic parroting'. But I'd hypothesize there's a filtering process, sometimes at the individual level, sometimes at a group or even civilization level that (so-far-over-long-enough-timescales) tends to cull some information that has low 'value' and propagates other data that has higher 'value'.
When an AI system can do the same, that's a big inflection point as you can give it energy and time and it will self-improve indefinitely.
It's pretty clear humanity has this capability. It's not clear whether AI does (or ever will). Or, perhaps it might already be there, and we just don't understand enough to know for sure.