Yeah, what I always try to bring up when people point out the possibility of executing innocent people is that the people on death row get the best shot at proving their innocence that society is willing to give them. No one else in prison gets more legal representation made available to them, both from the state and various non-profit groups.

If somebody can't get off death row, it's not a matter of could, it's that they would have spent the rest of their life behind bars. So while, yes, convicting innocent people of crimes is evil, and absolutely must be avoided at all cost, it's not really a compelling argument against the death penalty, unless you have a really sunshine-and-roses view on rotting in a jail cell.

My personal view is that the death penalty should mostly be reserved for cases where the question of a trial isn't so much "did this person commit this act" as much as it is "did the act this person commit constitute a capital offense". War criminals are the quintessential example. It's public knowledge that the suspect was in charge of a group of soldiers, and those soldiers took certain actions. The war crime tribunal isn't trying to figure out if you did it, they're trying to figure out if they should kill you for it.