Precedence does not equal immediate, universal jurisdiction, with the ability to pronounce dogma ex cathedra. The Eastern church also believes the Church of Rome had precedence over the other churches of the world.
From the east on roman supremacy and jurisdiction; St.Maximus the confessorâŚ
"The extremities of the earth, and everyone in every part of it who purely and rightly confess the Lord, look directly towards the Most Holy Roman Church and her confession and faith, as to a sun of unfailing light, awaiting from there the brilliant radiance of the sacred dogmas of our Fathers, according to that which the inspired and holy Councils have stainlessly and piously decreed. For, from the descent of the Incarnate Word amongst us, all the churches in every part of the world have held that greatest Church alone to be their base and foundation
âFor he only speaks in vain who thinks he ought to persuade or entrap persons like myself, and does not satisfy and implore** the blessed Pope of the most holy Church of the Romans, that is, the Apostolic See, which from the incarnate Son of God Himself, and also by all holy synods, according to the holy canons and definitions has received universal and supreme dominion, authority and power of binding and loosing over all the holy Churches of God which are in the whole worldâ**
From the east on Papal infallibility ; Theodore Abu Qurrah:
"You should understand that the head of the Apostles was St. Peter, to whom Christ said, âYou are the rock; and on this rock I shall build my church, and the gates of hell will not overcome it.â After his resurrection, he also said to him three times, while on the shore of the sea of Tiberius, âSimon, do you love me? Feed my lambs, rams and ewes.â In another passage, he said to him, âSimon, Satan will ask to sift you like wheat, and I prayed that you not lose your faith; but you, at that time, have compassion on your brethren and strengthen them.â Do you not see that St. Peter is the foundation of the church, selected to shepherd it, that those who believe in his faith will never lose their faith, and that he was ordered to have compassion on his brethren and to strengthen them? As for Christâs words, âI have prayed for you, that you not lose your faith; but you, have compassion on your brethren, at that time, and strengthen themâ, we do not think that he meant St. Peter himself. Rather, he meant nothing more than the holders of the seat of St. Peter,that is, Rome. Just as when he said to the apostles, âI am with you always, until the end of the ageâ, he did not mean just the apostles themselves, but also those who would be in charge of their seats and their flocks; in the same way, when he spoke his last words to St. Peter, âHave compassion, at that time, and strengthen your brethren; and your faith will not be lostâ, he meant by this nothing other than the holders of his seat.
Yet another indication of this is the fact that among the apostles it was St. Peter alone who lost his faith and denied Christ, which Christ may have allowed to happen to Peter so as to teach us that it was not Peter that he meant by these words. Moreover, we know of no apostle who fell and needed St. Peter to strengthen him If someone says that Christ meant by these words only St. Peter himself, this person causes the church to lack someone to strengthen it after the death of St. Peter. How could this happen, especially when we see all the sifting of the church that came from Satan after the apostlesâ death? All of this indicates that Christ did not mean them by these words. Indeed, everyone knows that the heretics attacked the church only after the death of the apostles â Paul of Samosata, Arius, Macedonius, Eunomius, Sabelllius, Apollinaris, Origen, and others. If he meant by these words in the gospel only St. Peter, the church would have been deprived of comfort and would have had no one to deliver her from those heretics, whose heresies are truly âthe gates of hellâ, which Christ said would not overcome the church.
Accordingly, there is no doubt that he meant by these words nothing other than the holders of the seat of St. Peter, who have continually strengthened their brethren and will not cease to do so as long as this present age lasts (pp. 68-69)
Library of the Christian East, vol. I, Brigham Young University Press, Provo, UT 2005), âThe heart of Theodoreâs theology lay in the attempt to discern the true religion and the true Churchâ (p. xxv) amidst the conflicting claims of Jews and Muslims, and the divisions among Christians in the Middle East. In his work âOn the Councilsâ, Theodore refuted the claims of âNestorians, Jacobites, Julianists, Maronites, and other heretics who lay claim to Christianityâ
John, Patriarch of Jerusalem (A.D. 575-593), to the Catholicos of the Georgian monks in his see:
"'As for us, that is to say, the Holy Church, we have the word of the Lord, who said to Peter, chief of the apostles, when giving him the primacy of the Faith for the strengthening of the Churches, âThou art Peter, etc. . . .â To this same Peter he has given the keys of heaven and earth; it is in following his faith that to this day his disciples and the doctors of the Catholic Church bind and loose; they bind the wicked and loose from their chains those who do penance. Such is, above all, the privilege of those who, on the first most holy and venerable see, are the successors of Peter, sound in the Faith, and according to the Word of the Lord, infallible.â"
Source: âThe Eastern Churches and the Papacyâ, S. Herbert Scott, London: Sheed & Ward, 1928. Pg. 359 (emphasis mine)