Even we don't feel the same about Anatolian or Black Sea Turks, or, how should I say, Turks in general.

Eastern Thrace—Turkic Thrace—was a melting pot of descendants of Balkan Muslims, of Turkish and non-Turkish origin.

My paternal ancestors were indeed Turks, but they demonstrably lived on Ada Kaleh, an island in the Danube in Romania, from 1430 until the 1930s.

Afterwards, they settled in East Thrace in a forest settlement; the village no longer exists.

I hardly think one can compare Albanians (or perhaps some Kosovars of Turkish descent) with Turks.