So, can you kill anyone outside a punishment zone?
Probably, which means the crime rate should go up with punishment zones around. We know from the real world that the death penalty or other harsh penalties are not a deterrent because no one planning a crime expects to be caught and people who do it in the heat of the moment don't think about the consequences. The latter group would still not think about the consequences so it doesn't change anything and the others would soon realize that being in a punishment zone and
being caught is less likely than being caught in a system that punishes you no matter where the crime was commited.