It's obvious that humans imitate concepts and don't come up with things de-novo from a blank slate of pure intelligence. So your claim hinges on LLMs parrotting the words they are trained on. But they don't do that, their training makes them abstract over concepts and remix them in new ways to output sentences they weren't trained on, e.g.:
Prompt: "Can you give me a URL with some novel components, please?"
DuckDuckGo LLM returns: "Sure! Here’s a fictional URL with some novel components: https://www.example-novels.com/2023/unique-tales/whimsical-j..."
An living parrot echoing "pieces of eight" cannot do this, it cannot say "pieces of <currency>" or "pieces of <valuable mineral>" even if asked to do that. The LLM training has abstracted some concept of what it means for a text pattern to be a URL and what it means for things to be "novel" and what it means to switch out the components of a URL but keep them individually valid. It can also give a reasonable answer asking for a new kind of protocol. So your position hinges on the word "stochastic" which is used as a slur to mean "the LLM isn't innovating like we do it's just a dice roll of remixing parts it was taught". But if you are arguing that makes it a "stochastic parrot" then you need to consider splitting the atom in its wider context...
> "We didn't "parrot" splitting the atom"
That's because we didn't "split the atom" in one blank-slate experiment with no surrounding context. Rutherford and team disintegrated the atom in 1914-1919 ish, they were building on the surrounding scientific work happening at that time: 1869 Johann Hittorf recognising that there was something coming in a straight line from or near the cathode of a Crookes vacuum tube, 1876 Eugen Goldstein proving they were coming from the cathode and naming them cathode rays (see: Cathode Ray Tube computer monitors), and 1897 J.J Thompson proving the rays are much lighter than the lightest known element and naming them Electrons, the first proof of sub-atomic particles existing. He proposed the model of the atom as a 'plum pudding' (concept parroting). Hey guess who JJ Thomspon was an academic advisor of? Ernest Rutherford! 1911 Rutherford discovery of the atomic nucleus. 1909 Rutherford demonstrated sub-atomic scattering and Millikan determined the charge on an electron. Eugen Goldstein also discovered the anode rays travelling the other way in the Crookes tube and that was picked up by Wilhelm Wien and it became Mass Spectrometry for identifying elements. In 1887 Heinrich Hertz was investigating the Photoelectric effect building on the work of Alexandre Becquerel, Johann Elster, Hans Geitel. Dalton's atomic theory of 1803.
Not to mention Rutherford's 1899 studies of radioactivity, following Henri Becquerel's work on Uranium, following Marie Curie's work on Radium and her suggestion of radioactivity being atoms breaking up, and Rutherford's student Frederick Soddy and his work on Radon, and Paul Villard's work on Gamma Ray emissions from Radon.
When Philipp Lenard was studying cathode rays in the 1890s he bought up all the supply of one phosphorescent material which meant Röntgen had to buy a different one to reproduce the results and bought one which responded to X-Rays as well, and that's how he discovered them - not by pure blank-sheet intelligence but by probability and randomness applied to an earlier concept.
That is, nobody taught humans to split the atom and then humans literally parotted the mechanism and did it, but you attempting to present splitting the atom as a thing which appeared out of nowhere and not remixing any existing concepts is, in your terms, absolute drivel. Literally a hundred years and more of scientists and engineers investigating the subatomic world and proposing that atoms could be split, and trying to work out what's in them by small varyations on the ideas and equipment and experiments seen before, you can just find names and names and names on Wikipedia of people working on this stuff and being inspired by others' work and remixing the concepts in it, and we all know the 'science progresses one death at a time' idea that individual people pick up what they learned and stick with it until they die, and new ideas and progress need new people to do variations on the ideas which exist.
No people didn't learn to build rockets from "seeing a volcano" but if you think there was no inspiration from fireworks, cannons, jellyfish squeezing water out to accelerate, no sudies of orbits from moons and planets, no chemistry experiments, no inspiration from thousands of years of flamethrowers: https://en.wikipedia.org/wiki/Flamethrower#History no seeing explosions moving large things, you're living in a dream