When I bought my current car, I read the privacy policy and it says that they'll record anything in the cabin of the car they damned well please and upload it to the mothership(/car manufacturer/Subaru).
For a while, I adopted the practice of repeating disparaging things about Subaru while I drove. I've kindof gotten away from the practice lately. What I really ought to do is find and unplug the OnStar MOBO to kill its internet connection. I'll do that one of these days.
As for what you're talking about, I don't think LLMs (typically?) learn by your interaction with them, right? Like, they take a lot of data, churn it through the algorithm, and produce a set of weights that are then used with the ending to produce hallucinations. And it's very possible (probable, actually) that for the next generation of the LLM, they'll use the prompts you used in the previous generation as more training data. So, yeah, what you're getting at would work, but I don't think it would work until the release of the next major version of the LLM.
I dunno. I could be wrong about some of my assumptions in that last paragraph, though. Definitely open to correction.