There is no deterrence effect in a deterministic universe without free will. Deterrence requires the individual to make a choice, which per your question they c

There is no deterrence effect in a deterministic universe without free will. Deterrence requires the individual to make a choice, which per your question they cannot make. And if you remove moral responsibility from criminals (to the extent that makes sense as a term in a free-will-free deterministic universe), then those punishing criminals are also free of moral responsibility. They did not make a choice, it was made for them and they are merely moving per the rules of the deterministic universe.