That is simply not the point. Executing people without overwhelming evidence of their guilt is not a position taken by anyone I know. If a government is doing that there needs to be a change in both policy and personnel. That said, once that theshold is met there is no legitimate reason to drag out the process through endless appeals that have nothing to do with guilt or innocence. The vast majority of death row inmates die of old age, usually after several decades of delays by lawyers who know their client is guilty of the crime that landed them there.
We all like to think of ourselves as rugged individualists. But when push comes to shove most of us are sheep who do what we are told. Worst of all, a lot of us become unpaid agents of whoever is controlling the agenda by enforcing the current dogma on the few rugged individualists who actually exist.