alt Hacker NewsMany states do collect restitution funds from revenues generated by the work of encarcerated people, and those funds do go to victims. I don't know that that applies to copyright infringement, but it is possible to get some recovery from criminal proceedings.
If a criminal case ever happens, it is a possibility that restitution can be awarded. But generally, if somebody's infringing your copyright and you want to seek damages, you need to bring a civil case yourself. Well over 99% of copyright cases are civil.