- That's outside the scope of what I claim. The claim was that if you give an LLM 300-bits of information it cannot add more things that are relevant that the reader could not also do themselves. It certainly can. The LLM may add information you do not want to convey. Which is easily mediated by removing it or additional prompting.

- You are adding real information. The LLM is also adding real information. That's the entire point. It happens very often that an LLM suggest something to me that I did not know or simply did not think about. An LLM solved Navier-Stokes recently. That was most certainly not just adding noise. That's real information purely generated by an LLM. Information that was worth a million dollar price. Information that man centuries of mathematicians were not able to do generate.