Hmm I’ll have to think about that, but at first glance I think most crime at least in the US would come from a lack of self control. I would think (and I don’t have the data here so this is just a prior) that very few crimes in the US are made because the criminal has no other opportunities and it’s impossible to find a job or move to a better area.
So this still doesn’t seem like a rule we could apply to crime that would justify only putting sex offenders on a registry and no other criminals.