It is the torrent itself they look at, not the website.
Honestly in Canada they haven't (to date) done anything to anybody for downloading movies other than forward a letter from some American company. Bell / Rogers don't actually reveal who YOU are to said company, they just forward the letter.
That said, I prefer not to receive the letter in the first place, just in case. I use Opera with free VPN enabled to access the torrent sites, and PIA proxy service for downloading, with forced encryption in the client. This:
A) Using Opera with VPN enabled to access the torrent site means there's no trace to your ISP that you ever visited the torrent site (and it's free)
2) Using PIA proxy service means your IP can never be associated with whatever you're downloading, and it doesn't slow down the download
3) Forced encryption from within the torrent client means even if your ISP was monitoring you traffic, they can't see anything but a bunch of encrypted garbage
Opera VPN is free, forced encryption is free, and PIA is about $50 / year. I download over 1 TB / month on average, so this is cheap peace of mind for me.