I've was a Game Rewind subscriber last season and it was a solid product. Best news in this announcement is the new service will be available on the Apple TV. I will definitely subscribe to this service.
*It should be noted users can not watch the games live. In this case, on demand means after the game is completed. Also, with Game Rewind, viewers could not access on demand games while there were NFL games being played. Example, you cannot watch an on demand game while Monday Night Football is being broadcast.