So you don't believe in a Petrine succession for the Papacy despite the consistent historical record of lists of Roman bishops tracing back to Peter? (cf.
Jerome quoting Hegesippus' work, ca. 170 A.D., Eusebius giving further extension of Petrine succession in Rome in
Church History 5.6 & 5.28.3, and still later Augustine giving further succession in
Letter 53, 1.2, etc...) That places Petrine primacy at about 30 A.D. cf. Luke
22:31-32, cf. Mt 16:18.
And even if you reject that, it's not just to overlook the numerous examples of Petrine/Roman primacy outside of Scripture prior to 533. For example:
Since, however, it would be very tedious, in such a volume as this, to reckon up the successions of all the Churches, we do put to confusion all those who, in whatever manner, whether by an evil self-pleasing, by vainglory, or by blindness and perverse opinion, assemble in unauthorized meetings; [we do this, I say,] by indicating that tradition derived from the apostles, of the very great,
the very ancient, and universally known Church founded and organized at Rome by the two most glorious apostles, Peter and Paul; as also [by pointing out] the faith preached to men, which comes down to our time by means of the successions of the bishops. For it is a matter of necessity that every Church should agree with this Church, on account of its preeminent authority, that is, the faithful everywhere, inasmuch as the tradition has been preserved continuously by those [faithful men] who exist everywhere. (Irenaeus,
Against Heresies, 3.3.2, ca 170 A.D.)
"The Lord speaks to Peter, saying, “I say unto thee, that thou art Peter; and upon this rock I will build my Church, and the gates of hell shall not prevail against it. And I will give unto thee the keys of the kingdom of heaven; and whatsoever thou shalt bind on earth shall be bound also in heaven, and whatsoever thou shalt loose on earth shall be loosed in heaven.” And again to the same He says, after His resurrection, “Feed my sheep.” And although to all the apostles, after His resurrection, He gives an equal power, and says, “As the Father hath sent me, even so send I you: Receive ye the Holy Ghost: Whose soever sins ye remit, they shall be remitted unto him; and whose soever sins ye retain, they shall be retained;” yet,
that He might set forth unity, He arranged by His authority the origin of that unity, as beginning from one. Assuredly the rest of the apostles were also the same as was Peter, endowed with a like partnership both of honour and power; but the beginning proceeds from unity....Does he who does not hold this unity of the Church think that he holds the faith?" St. Cyprian Of Carthage ("
On the Unity of the Catholic Church," 251 A.D.)
Decreed, that if any bishop is accused, and the bishops of the same region assemble and depose him from his office, and
he appealing, so to speak, takes refuge with the most blessed bishop of the Roman church, and he be willing to give him a hearing, and think it right to renew the examination of his case, let him be pleased to write to those fellow-bishops who are nearest the province that they may examine the particulars with care and accuracy and give their votes on the matter in accordance with the word of truth. And if any one require that his case be heard yet again, and at his request it seem good to move the bishop of Rome to send presbyters... (
Council of Sardica, canon 5, 343 A.D.)
At all events
the master of the whole world, Peter, to whose hands He committed the keys of heaven, whom He commanded to do and to bear all, He bade tarry here for a long period. Thus in His sight our city was equivalent to the whole world...when Peter was about to depart from here, the grace of the Spirit introduced another teacher equivalent to Peter, so that the building already completed should not be made more unsound by the insignificance of the successor. (Chyrsostom,
Homily on St. Ignatius, 4, ca. 390 A.D.)
Consequently, Lord and Brother, we have thought it best to transmit this report to your holy Charity, that
the authority of the Apostolic See may be added to the decisions of our insignificance... (
Council of Carthage, 4, 419 A.D., signed by some 68 other bishops addressing Pope Innoncent)
So I think the historical record in no way resembles the claim that the primacy of the Roman bishop started in 533 or 538.