And now to your points - the word "Aschkenaz" IS actually of middle-eastern origin. It describes people who lived in the area of modern day eastern Turkey, north-eastern Syria, and north-western Iran - similar to the area where Kurdish people live today. The meaning of the word changed over time, and yes - nowadays it does have some relationship with Europe - it describes Jewish people who were driven out of Judea and Samaria by Romans and later settled in the middle and eastern Europe. So - yes - they are by definition Palestinian refugees with a right to return to their native lands.
But, of course, they are only one group of the Jewish people and not even the only one who lived in Europe. There are also displaced Jews and their descendants in Irak, Iran, northern Africa, India, even in China and Japan. But in the end, every one of them, including the "European" Aschkenazim still have substantially better claims to the land of Israel than the Arabs who are by definition just invaders in that region.