If you're doing something that's only purpose is to be posted on the internet, it's the same as being on the internet. Even if the cable is unplugged, you're still doing internet things.
That's a lot of the problem here. He's trying to stop something too broad. Instead, he should be picking the things he DOES on the internet that are stealing his time. Reading Digg/Reddit/StumbleUpon/Facebook for instance. Limit or quit those things. The internet isn't the problem any more than 'being outside' is the problem for laying on the beach too much.