You're talking about centuries? Peter was dead by the time the church arrived in Rome.
I provided dozens of Bible verses proving Peter was chief among disciples, you haven't addressed any.
Orthodox church separated themselves in the 11th century, and their line of succession does not come from Peter.
Acts 15.
Who presided over the first church council ever? not Peter.
and i present to you further the history of the orthodox church: Christ is the head, and no single man ever had preeminent rulership, but each center was equal.
Peter did not have control. over the disciples. Jesus did.
if anyone can be shown to hold sway over them al outside of Christ, it is Judas, who almost convinced them to rebel against Jesus - see John 12, Mark 14 and Matthew 26. Peter ne er received the sop, Judas did. Judas held the money. Judas had the authority and power, Peter just had a big mouth - which got him in trouble more often than it got his k. praise.
Don't get me wrong - yes Christ greatly honored Peter. but He has honored the weakest vessel as the greatest, and He made it clear in His word that Paul rebruked Peter, not the other way around - not the same make Paul boast, but to make it clear Peter is not above anyone but as Paul, a servant.
the RCC demonstrably recounts a completely imaginary, false history when it tries a to link itself to Peter. likewise the theological argument is completely imaginary and unsupportable, and even if it was supportwd, the implications is that the current head of f the eastern Roman empire controls the church, which is Moscow aka "Magog" not the RCC.