I mean the Byzantine folk and religious traditions do not exist in the current owners. There were extensive pogroms and population exchanges. Although Istanbul in particular was exempt from those based on treaties, in reality the treaties were ignored.
Regarding the last major events in the 50s I have found this, don’t know how detailed it is:
If you start looking into 1000 years history of the area you will find maybe worse incidents happening from the "Byzantine folk / religious traditions" side as well, I don't think this one sided implications are warranted.