NO their ancestors didn’t survive a caliphate—they are Ashkenazi Jews—not Sefardic—ok they had to deal with the pogroms etc etc etc—but not the caliphate—their sefardi brethren had to deal with that.
They don’t see themselves as a separate people. Also, there were a small stream of Ashkenazim making aliyah to Israel from the Galut throughout those centuries.