Well, not all cultures on Earth, especially western ones, share the above revenge-motivated old-testament-style viewpoint on the law. Perhaps that's why they manage to have less crime, less recidivism, less mass shootings, and far lower murder rates, with far-far lower incarceration rates and no death penalty.
In the end, a society gets what they deserve, and those revengeful reap what they sow. Like those clinging to guns for "protection", and dying from gun crime (or from their own gun-owning family members).
>The relation you imply between laws, sentencing, and crime rates between different locations and demographics is not causal and doesn’t account for various other factors, and is therefore irrelevant.
Well, it's not the only factor, but it's a telling part of the belief systems, structures, and overall culture a society operates. It's not just lost in the noise of other factors, as it's irrelevant. Culturally, and in terms of recidivism etc, it's very relevant (like the long history of racism inspired incarceration is). Besides, the proof in the pudding is in the eating.
As they say, "so, how does that work out for you"?