Does the Zombie collect compensation even though zero ships are sent to the warp?
My understanding is that the Zombie's power is a replacement effect, meaning their ships never go to the warp. Given this, the official rules state that compensation is taken for each ship that the player loses to the warp when playing a negotiate card:


  If One Player Plays a Negotiate Card and the Other Plays
  an Attack Card: if you played a Negotiate card, your side loses.
  Automatically. Your ships and your allies’ ships go to the Warp.
  However, you now claim Compensation from your belligerent
  opponent. You must take at random, from your opponent’s hand, one
  card for each ship you lost to the Warp (not counting your allies‘ they
  get Warped without Compensation). If your opponent doesn’t have
  enough cards to provide you full Compensation, you take only the
  cards he or she has.


(Sorry - I couldn't find the newer rules in PDF form on the web.)

Since the Zombie's ships never make it to the warp because of the word "instead" in their rules text, they would not collect compensation for the loss. This is verified here at the Cosmic Encounter wiki.