IMO Venice should retain Greek culture to keep her interested in Greek provinces (Morea, Negropont, Candia).
Yes, because of this Venice should keep greek culture at least until a TUR siege of or a TUR controlled Crete province.And if VEN has no greek culture but TUR has it then that might result in rebelcontrolled greek provinces to defect to TUR far before it´s wanted.
What would you choose between Montferrat or Asti?