Corpses of monsters nowadays are just cosmetic. Players don’t eat them, skin them, or resurrect them with necromancy anymore.
So my idea is, corpse names will have prefixes like burned, frozen, or battered, depending how you kill them.
For example, you killed an orc warrior with maces or flails? they would leave corpses like “battered orc warrior corpse”.
You killed them with the wand of root? they would leave “strangled orc warrior corpse”.
You killed them with fire damage? they would leave “charred orc warrior corpse” .