Correct, it does state that in there. But that's a TV Anywhere topic pointing out TV Anywhere is supported on Edge. And the OP is asking about TV Anywhere, not the Sky stuff. Sky stuff (movies/sports) has never been through TV Anywhere. It goes through Sky's website and apps. They manage their own things and always will.
- - - - - - Any opinions expressed by myself are entirely my own and do not represent Virgin Media in any way.