Presumably something was sacrificed to be able to have the game, usually money which is in turn acquired through sacrifice of one's time/life (a job).

In both cases, the victim is being deprived of time out of their life.

Not really, when you consider the context of each situation. Being banned from an online game is a sort of localized "prison" within the context of the game.

It's called a "thought experiment"

When you consider the contexts, you can also realize they are two different things that should be handled separately and in different ways.