No, no, no, and no.

You could go further than that. You could kill someone for hurting an animal. You could kill someone for threatening arson. You could kill an entire army in wartime for no reason beyond wearing the wrong colors. In all of those cases the killing is justified by more than just bloodlust. I am not a pacifist.

Executions are different. People are not afraid to admit that they support executions because they like knowing that hated people will suffer. That is not something I will consider acceptable under any circumstances. If there were any evidence that capital punishment served a purpose beyond feeling good I would change my tune. But there isn't, so I won't.

Recidivism rate is high so People who commit murded will likely commit other crimes if released so removing them from society is a good thing. Keeping them in jail forever is a waste of resources so execution is right approach. The one thing is that process should not take 20 years and all appeals should run out in a year or two at most so justice is reasonably swift.

We should not torture them on purpose but besides that I do not particularly care if they suffer or not during execution.

Execution is vastly more expensive than keeping people locked up. This is well documented. Shortening the appeals process enough to make it cheaper than prison would be radically authoritarian and would result in even more innocent people being executed.