Actually, dwarves and elves, who in their world views are distinctly NOT humans, and both of whom have hideously long histories of strife with orcs. I don’t believe I ever heard Aragorn gloating.
Also, the view is not universal; though Gandalf obviously kills orcs often, he also says, “And for me, I pity even his slaves.” But no orc has EVER repented, it seems … so the stereotypical reaction is pretty safe.