You're the one who made the claim that they might have some remote point. I'm saying they don't. Support your claim.
You mean, some remote point that may make murders, even the worst ones, as somehow understandable to a point, even if not forgivable?
Well.. for killing of minors, for example, being under heavy drug influence, being under severe so-called "mental health problems" etc. may help us understand why a person did what he did.
For killing of another adult can be many more: revenge, betrayal, having no money and killing while stealing, etc. are all reasons that, while may not condone a murder, may at least help us understand why it happened.
A person who supports death penalty, instead, usually is not under drug influence, does not have any reason of revenge, betrayal, etc. against the death penalty convict and therefore his/her support for the cold-blood murder of this unarmed convict is possibly worse from a moral point of view.
And about the reasons of people in favour of the death penalty, you can't seriously expect me to believe that you haven't seen them.
I do.
But, honestly, none of them makes really sense from a logical point of view.
They are just a masquerade for the blood-and-gore desire of revenge and frustration that most people have.