>Here's how it could work. It's similar to how copyrights for music are enforced. A person whose data are found in someone's files or server can sue for "statutory" damages, which are levied on a per-offense basis.

That's not how copyright lawsuits work though. For the typical person torrenting, it's because they were caught in the act of torrenting (eg. they had a torrent client in the swarm connecting from an ip that was assigned to them). Otherwise it's a DMCA takedown and companies don't even bother suing. Nobody is getting their hard drives searched for illegal music and getting sued as a result.

That's right. I'm not talking about copyright, but about a new restriction on possession of the data. The only parallel is the use of statutory damages as a remedy.