That seems pretty silly. By that definition, for instance, Kurds don't exist, nor do Catalans. Ethnicity and possession of statehood are two different things, and Greek identity has always been "layered" with other elements of ethnicity into the bargain.
I'm aware of that, but no one ever said if it was ethnicity or nationality. I looked at it more from the nationality point of view. Regardless, I called the other one the more reasonable view.
Admittedly, both are gross oversimplifications of the situation, but that seems to me to be the basic views one could have on the subject.