Those people who were sentenced to death wrongly would disagree. 4.1% of people that is. They didn't even need to change, or justify anything. They were, are going to be, wrongly killed. As would those that are literally crazy, like Andre Thomas. They don't have the ability to know what they're doing is wrong, or socially unacceptable. And you want to kill 'em, without them understanding why, for it instead of giving them the medical help they need.
If it doesn't happen, if they don't change or if they aren't shown to be innocent, so be it. Stick them in a prison and be done with it. Giving them the chance, or medical help, is important. It's what makes us different to them.