Considering that the tutorials have all used a Game Object for the death effect, I'd imagine you would need a specific Game Object (Death Effect) for each Monster type. Not sure there's yet a way to change a generic death object on the fly for a per-monster basis.
Unless, maybe, you modify the Monster death scripting to call a special Action State on the existing Monster Object, rather than switching in the Death Game Object? I'm afraid I don't know the coding to do that, though.