Papal primacy was universally accepted, but the immediate, ordinary jurisdiction found in modern Catholic canon law didn’t exist.
The Eastern patriarchs, nor bishops, were appointed by the Pope. The acts of the ecumenical councils, however, strongly affirm the primacy of the Roman Pope.
As a son of the Patriarchate of Antioch, I have a sense of pride that St. Peter was in Antioch first.
If the Pope is supreme over the Orthodox, why do they reject his authority and infallibility?