But at least on the Greek side, for older people there I’ve met, the hatred still burns very hot.”
You bet your life it does, and not only with “older people”!
The Turks carried out ethnic cleansing - a component of genocide (at least it was called that when the Serbs did it to the Muslims) on Greeks in 1955 AD and again in the early 1970s AD in Cyprus. So it is not a “thing of the past”.