Eftihis,thank you for the comments.
About the populations issue, i agree with the only opposition about the origin of Cretan Moslems, thinking there were Turkish colonists from Anatolia as well as conversions, parallel to the strategy Ottomans has applied to many other newly occupied lands .But still I will translate & use your inputs to tease a little bit a friend of me who's from a Crete migratant family

Yes, population exhange caused Christian community with Turkish ethnicity disappear as a culture .In Turkey there were Orth.Christians using Turkish in praying and identifying themselves as Turks .Their leader rejected the allied invasion over Turkey after ww1,left Fener Greek church which supported the invasion, many from the community helped or joined the resistance army etc., but still only their patriarch's family was let to stay in Turkey in the 1924 exchange and to open his own independent church with the name "Turkish Orthodox".
Anyway,about the bichaqs, I guessed so. Then as there is no surprise,they can get ready for some exhange oppurtunity or sale