You'd polyjuice another human into Hermione. Thus, when the imposter dies, there would still be the "dying-soul-magic" of a human dying.

Does this sound like someone polyjuiced into Hermione to you?

There was a burst of something that was magic and also more, a shout louder than an earthquake and containing a thousand books, a thousand libraries, all spoken in a single cry that was Hermione; too vast to be understood, except that Harry suddenly knew that Hermione had whited out the pain, and was glad not to be dying alone.