You're thinking "Great, problem solved, this kid will literally never be allowed to play another video game as long as he lives"
OK, in actuality, he's just going to use his mom's ID next time. And his dad's. And his grandparents' IDs. etc, etc
There'll be a whole gray market for IDs from all over the world to pair to your ridiculous Orwellian service, because thankfully it won't be backed up by penalty of death