Let's look at some evidence.
There is, just over, half an island where some Cypriots live, of no particular ethnic extraction. Just Cypriot Nationals who can easily adopt another Nationality, as needs be -- nothing to give up that hasn't already been given up.
Then, in the remaining, almost, half of the island we have a load of TCs and Turks who are very proud to be called ethnically Turkish, and will fight to the death (mostly the death of 'Greek' Cypriots) in order to retain their Turkish ethnic identity (such as it is).
Ethnic cleansing? No such thing!
There is NO ethnic identity, in over half the island, which to cleanse! There are merely some Cypriot Nationals! If they just convert to being Turkish Nationals (easy, nothing but a label to modify), then the Cyprus Problem is solved.
The Ottomans began the erosion of the Greek identity of the majority of the islanders, and the Turks (Uber-Ottomans) have finished it off!