> more or less stringent about jailing criminals
is quite different than "fill the jails, empty the jails"
Quite a bit of research on the effect of deterrence on crime seems to strongly suggest that it is the level of certainty of being caught and punished that has a deterrent effect, not the severity of the sentence. This would correlate with "more or less stringent about jailing criminals".
> the primary purpose of jail is not rehabilitation, it is to protect the public from criminals
This is a statement of belief, and there are people who believe otherwise. I don't have a strong position either way, but I don't like people asserting that their opinions are self-obvious truths about the world.