That's not true because you send or receive data from other peers only if you are already watching a video.
In other words - p2p is used only in places where the data would have gotten from the server anyways (e.g. p2p didn't add any new users to the equation)
You A are getting content from server S.
B is getting the same content from server S.
With this CDN, what changes is that A is now sending content to B. Content that may be illegal. The fact that would mean A was accessing illegal content doesn't change the fact that this CDN moves him from a downloader to an uploader, without his content nor telling him, something that has legal precedent for leading to convictions in europe.