Using a dot to kill, camping out before death to avoid faction hit question

[Petrified Wood]

As the title infers ~ I am curious what happens to a mob and their corpse if you camp out before their death, after doting them for the kill. Does the mobs corpse just poof away or does it fall to the ground having the poof timer to loot like normal? Just curious if anyone has tested this. This could be a well know method of killing for all I know, just never done it/read about it myself. Thanks for any response that's helpful, cheers!