Back in 1984, I wrote a master's thesis under Dr. Michael White at Arizona State University entitled "Moral Theories and Free Will."
I defended the claim that on the assumption that what we are utilitarians looking for ways to modify behavior, compatibilism makes some sense. Even if determinism is true, we might want to cause people to act in certain ways, and we might want to figure out who brought about an action, so that we can change a pattern of behavior. Thus, punishing criminals for various utilitarian reasons makes sense even if determinism is true.
However, if we are retributive deontologists, then compatibilism makes no sense. If we are not trying to modify behavior, but are asking whether someone is really to blame for what they did, then compatibilism doesn't make sense. The ultimate causes of our actions are beyond our control, and we are not responsible for those causes.
If you read many compatibilists, such as Moritz Schlick, and J. J. C. Smart (these were two that I mentioned in my thesis), you find that they have a concept of responsibility that is quite different from the concept of responsibility that is involved when we say that a person deserves to be punished in hell (or even in prison) for what he or she has done.