Except it's often not your ISP going after you, and https does not protect against everything. A few years ago there was a scandal in Germany when a moneygrubbing law firm took out ads on a porn site to get user IPs and the referer header, then sent demands to users for illegally downloading copyrighted material.
A court initially rubber-stamped the requests for IP info from the law firm.
A better judge/court clarified the law (streaming is fine in Germany) in that case and there were hopefully consequences for the law firm and the lawyers involved, but some suckers paid hush money first.
At least in the US, no one has ever been charged for using (implicitly non-p2p) streaming sites. People are charged for distribution - that is, the upload portion of p2p. Just viewing stuff in your browser is perfectly safe without a VPN.