I think the point the OP is trying to make isn't to police bullies, but to figure out the influences on the child to be a bully, and to correct for that, so that the kid doesn't bully in the first place.
But, as it turns out, people fuck, and it's far more effective to teach people how to deal with sex than to argue the "real" solution is abstinence.
Similarly, teaching kids how bullying functions and a robust environment that prevents the causal factors of bullying can cut down on the actual bullying behavior.