I hadn't actually thought of a living dead situation, but yeah I think they would.
One idea I was thinking of was that they'd refer to themselves as Zun-Kulla (Zoon Koolah is an idea for pronunication, but I'm not sure yet)
But, they'd use Xo-Kulla to refer to bodies, as they kind of see bodies as nothing without the spirit. But, they also refer to lets say tree's as Zun-Tree, or Zun-animal, Zun-Flora, or vice versa. I'm going to think up works for what they call trees, plants and animals though, because as written above it sounds weird !LOLZ