That’s a very fair position. There is Tradition and you accept it as a matter of faith - if I understood correctly,
What I argue against is when people claim it as demonstrable historical fact, but then can’t demonstrate it.
Not to make thing too difficult here, but there is some historical evidence pointing against the idea of Peter holding monoepiscopal office in Rome, as Christian communities during the time Peter would have been in Rome did not have a monoepiscopal structure but rather a committee of elders (presbyterol). It is not until the 2nd century that we hear from Ignatius that there were churches led by a single bishop.
I absolutely concur with the reasonability of this point.
Detail: I accept the tradition not merely “on faith” but because of the extra-scriptural witness. More than 30 ancient sources refer to Peter’s tenure at Rome.
And keep in mind that “second century” for Ignatius is 107 A.D. – not even a single generation beyond the death of the last Apostle. Also, for Ignatius, evangelized by St. John the Evangelist, the age of ALL living Apostles was within his own lifetime.
In the NT we see churches “headed” by Apostles/apostolic delegates (Timothy) and churches, as addressed by John in is epistles, that seem to have been governed by more than one elder. Is it likely that one of them was head pastor?
Nobody in his right mind would attempt to portray Peter as a triple tiara-wearing Patriarch over the Church Universal. The form of papal governance grew and developed out of necessity as congregations were planted from the central apostolic venues (Rome, Antioch, Ephesus, etc.). Yet, even among many elders, the “chief elder around here” would become central. Peter’s position as one of the Twelve certainly would have given him priority wherever he was. Whatever his primacy was understood (or not understood) to be would also have been enhanced by his martyrdom.
All of the above, in conjunction with the Scriptural warrant, augmented by the extant written witness for episcopal governance and for the centrality of Rome at an early age would support the Roman view of a papacy that stands as the focal point of unity for the Church and as a tie-breaker in the case of disputes: at the very *least. *