Your good joe371:) The title invites a view of the orthodox, but the Op personally asks for anyone to participate. We have to remind our posters context, context please. Your response was a very good one.
The OP puts a timeframe on jurisdiction of authority as relating it to the schism.
What the Op needs to understand is that Peter’s authority or the Bishop’s of Rome (Peter’s apostolic successors) authority never get’s questioned or his authority is never reached by any other bishop or city who vied for equality or to usurp the bishop’s of Rome’s authority as pre-eminent for all the Church’s to follow. until a Patriarch of Constantinople gets placed in power by the Roman Emperor’s, then the power game begins with secular powers trying to infect apostolic authority and divine authority given to Peter to feed, tend the flock on earth.
The Op’s question never addresses pre-Constantinople period, only post-constantinople period when authority over the church’s were being usurped by the Emperors through the patriarch’s of Constantinople. They succeeded in usurping Jersusalem, Antioch and Alexandria, but these never prevailed over the Church of Peter the bishop’s of Rome. That is a promise from Jesus being kept, not of men.
The bishop of Rome has no key or authority to denounce Jesus authority given to him, nor can any Patrirach, secular emperors can remove what God has joined together. All those who vie for the authority of Peter over the Church of Jesus Christ pits himself against God, not the Roman Bishop, the Pope’s.
The Orthodox try to prove that God did not join the head Jesus Christ to His body through Peter the Church (which Jesus built His Church upon). They think by using historical events and mistinterpreting them to disqualify Romes pre-eminency to tend Jesus flock and they use councils trying to usurp the Popes authority gives them ground to contest the authority of Peter.
The Schism is not the Authority of Rome in the popes having any jurisdiction. The schism is the rejection of that divine given authority by men, and a fight to possess the authority of Peter. The Popes are not in schism, they are defending what God has joined to her in the Church. And the popes are doing it with love and desire of unity. The Popes have no authority to remove what God has joined together.
Peace be with you