Correct me if I'm wrong, but streaming pirated content is more "okay" in the eyes of the law than downloading it via torrent is.
If you torrent, you inevitably upload a small portion of the download, even if it is just the headers, and the *overlords* are counting on this to nail you for "distributing" content.
Distributing (uploading) content is a big no-no, but if you can somehow *only* download content, such as by streaming it, you should technically be safe from DCMA notices and stuff.
Your browser is also much better equipped to protect you (https so the ISP only sees domain info, ad- and javascript-blocker extensions, your IP isn't broadcasted to the "swarm" where you inevitably end up in a honeypot, etc.), if you take all the precautions you can to protect your session.
With that said though, if you use Google Chrome signed in with your Google and Facebook account to visit shady streaming sites without an adblocker, yeah, well, then you should expect the STD's coming your way. Your browser might end up with a case of
SpOoKy VaGiNoSis after you finish your episode of the Gillmore Girls...