Let's say a torrent website asks the user through an LLM interface what kind of copyrighted content they want to download and then offers me links based on that, and makes money off of it.
The user is "inputting variables into their probability algorithm that's resulting in the copyright work".
Theoretically a torrent website that does not distribute the copyright files themselves in anyway should be legal, unless there's a specific law for this (I'm unaware of any, but I may be wrong).
They tend to try argue for conspiracy to commit copyright infringement, it's a tenuous case to make unless they can prove that was actually their intention. I think in most cases it's ISP/hosting terms and conditions and legal costs that lead to their demise.
Your example of the model asking specifically "what copyrighted content would you like to download", kinda implies conspiracy to commit copyright infringement would be a valid charge.
The user is "inputting variables into their probability algorithm that's resulting in the copyright work".