but his entire fanily believes him. He would have to take the step of admitting guilt and removing all doubt that he is a murderer, just for revenge. He would still be in prison for life.
By denying he did it, he can be seen as a brave martyr and a poor soul by his family and anybody else that thinks he's innocent.
According to his story, he is also a victim.
That all goes away by implicating Jay.