No...it is an example of being "first among equals"
Disputes were usually mediated by the Pope, as the See of Peter was first in honor & priviledge.
*Your head is not first among equals to your spleen. You can live without your spleen
I think you have lost your head if you don't recognize this is an example of the Petrine Primacy being exercised.
I am unaware any other Bishop of any other Jurisdiction complaining about this, putative, "usurpation" of authority. And we don't read of any such protestation because, back in the day, all Bishops recognized the Petrine Primacy was Divinely Constituted
Cyril:According to this promise of the Lord, the Apostolic Church of Peter remains pure and spotless from all leading into error, or heretical fraud, above all Heads and Bishops, and Primates of Churches and people, with its own Pontiffs, with most abundant faith, and the authority of Peter. And while other Churches have to blush for the error of some of their members, this reigns alone immoveably established, enforcing silence, and stopping the mouths of all heretics; and we not drunken with the wine of pride, confess together with it the type of truth, and of the holy apostolic tradition.
Raban.: For as with a zeal beyond the others he had confessed the King of heaven, he is deservedly entrusted more than the others with the keys of the heavenly kingdom, that it might be clear to all, that without that confession and faith none ought to enter the kingdom of heaven. By the keys of the kingdom He means discernment and power; power, by which he binds and looses; discernment, by which he separates the worthy from the unworthy.
Origen: See how great power has that rock upon which the Church is built, that its sentences are to continue firm as though God gave sentence by it.
Raban.: But this power of binding and loosing, though it seems given by the Lord to Peter alone, is indeed given also to the other Apostles, and is even now in the Bishops and Presbyters in every Church. But Peter received in a special manner the keys of the kingdom of heaven, and a supremacy of judicial power, that all the faithful throughout the world might understand that all who in any manner separate themselves from the unity of the faith, or from communion with him, such should neither be able to be loosed from the bonds of sin, nor to enter the gate of the heavenly kingdom.