After playing with it some more hhooo is (not surprisingly) correct. If I look really hard I can see that the amount Old Daka does go up the more Zombie dies. That being said I still regret doing the zeta so far. I haven't found a team that it really works for. And I don't see it helping in Arena or Galactic War(although at least this is no longer impossible). I have yet to try it in a tank raid to see if it would be any more use there. And right now my zombie is below 6k power so can't do it in TW.
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A screen-shot from the vid...
Barriss heals them for 15% of their max health, do the math.
really high health!
a health monster...