It's exactly the opposite with LLMs. See the "model collapse" phenomenon (https://www.nature.com/articles/s41586-024-07566-y).
> We show that, over time, models start losing information about the true distribution, which first starts with tails disappearing, and learned behaviours converge over the generations to a point estimate with very small variance. Furthermore, we show that this process is inevitable, even for cases with almost ideal conditions for long-term learning, that is, no function estimation error