This is a horrifying proposal not only on the ethics front but also in the scientific uselessness of it.
This is exactly the type of thing that gave the Nazis the bad name they deserve.
No one forces them to A. Commit crimes B. Undergo experiments. It would just be an option to atone for your wrongdoings and make things right with that sacrifice.
It sounds kind of beautiful even. Usually you don’t get such opportunity to make amends after you have done something terrible. You are just stuck in the prison cell for no purpose other than to rot there. It’s wasteful and useless and makes no sense. Allow these people to give back to the humanity what they took away.
I would sign it myself. Much better than dwelling in guilt for the rest of your life. Do something good for others. Truly extraordinary deed to sacrifice yourself in this way and the reward is adequate.
Even just subconsciously that would have an effect
Justice should be blind.
Also the problem is not only judges, but the scope of detective work being done and when the crime was discovered etc. Judging comes last, but I guess we could deploy the infallible robot police squad which will do a flawless crime scene analysis etc.