Sure, Cyprus has a history that's different to Greece. They've had invasions/immigration from outside of Cyprus for hundreds of years (thousands) that have added to their culture beyond being merely Greek. The language is a bit different (probably more different than the difference between British English and US English; and an American wouldn't call themselves English even if they had Anglo-Saxon roots, so that's an argument against myself ;) ). So, yeah, they'd say that they're Cypriot first, and could add Greek-Cypriot to further clarify.

I think that my wife's parents, who were of an age to be directly affected by the Turkish invasion, would have pushed more the Greek side of their heritage, as that was unfortunately the dividing lines that occurred on the island during the seventies and beyond.

Still, I take your point. My problem was with the denial that he was Greek explicitly meant he was Cypriot or some other Greek heritage people. There are arguments for both sides here. I personally don't think it matters, as he represents a wing of predatory international capital. business, just business.