Some people do see the justice system as a method for taking revenge
How people see it is likewise irrelevant. It's put in place expressly to prevent 'revenge' from being the method of retribution.
Again, changing the punishment to life incarceration doesn't make the problem go away.
Given that we've just found out that the FBI has screwed up 1000s of cases including 30+ who are now dead and perhaps wouldn't be...life is infinitely better.
No, the person's life is just as wasted
That tells us plenty about your opinion...I'd wager most people on death row would see it slightly differently. And 100% of those now dead would see it differently. Being 'free' for even an hour is still probably worth, quite seriously, millions of dollars to those people (and the local populace who gets to pay it)