Pretty sure they can nail you even harder for piracy on this than on your own network where it might be someone else's device.
Mostly they just threaten people with lawsuits in order to get settlement money from folks who may even be fully innocent, but who cannot afford to fight against an international media empire in court. Lawsuits against random users are less common than they were, but still happen. The bigger issue is that the media industry has been pressuring ISPs to permanently disconnect users after nothing more than repeated unproven accusations of copyright infringement.
ISPs who fail to close these accounts risk being fined billions of dollars, so anyone in the US who has been getting DMCA notices from their ISP should take steps to prevent that or else they're risking getting disconnected which is a problem for those without many options for high speed internet access.
Permanently cutting people off from the internet over nothing but accusations seems very extreme, but the media industry has already taken several ISPs to court for not doing it and so far they are winning.
That said, it was already highly questionable for legal application, since a torrent client can run on any machine connected to a home wifi, including guests and compromised machines. It may have been enough for a "hey, you're breaking our tos, please check your devices" from the ISP, but should never have been more than that (like threatening letters from rights-holders).