The outcome of punitive retribution is that it undermines the domestic security of the US when convicts sentences are over. They are less integrated into society than before the arrest, and are not rehabilitated from the crime they did, are not rehabilitated from the punishments and society in prison, and are marginalized from the rest of society pushing people towards more petty and violent crimes against the population just for basic food and shelter.
So your idea exacerbates the thing you want to dissuade.
The concept is called recidivism if you are interested in corroborating or learning additional perspectives of this. And why it occurs such as the misaligned incentives that promote recidivism that we as a society can fix.