Chrysostom is recognized highly with the RCC as well. Do not think the Orthodox church has some kind of monopoly on him cause you do not.
My previous statement of your interpretation of Chrysostom stands.
Shalom
Quoting Chrysostom:
"Peter, that head of the Apostles, the first in the Church, the friend of Christ, who received the revelation not from man but from the Father....this Peter, and when I say Peter, I mean the unbroken Rock, the unshaken foundation, the great apostle, the first of the disciples, the first called, the first to obey." (De Eleemos III, 4, vol II, 298[300])
"Peter the coryphaeus of the choir of apostles, the mouth of the disciples, the foundation of the faith, the base of the confession, the fisherman of the world, who brought back our race form the depth of error to heaven, he who is everywhere fervent and full of boldness, or rather of love than of boldness." (Hom de decem mille talentis, 3, vol III, 20[4])
"The first of the apostles, the foundation of the Church, the coryphaeus of the choir of the disciples." (Ad eos qui scandalizati sunt, 17, vol III, 517[504])
"The foundation of the Church, the vehement lover of Christ, at once unlearned in speech, and the vanquisher of orators, the man without education who closed the mouth of philosophers, who destroyed the philosophy of the Greeks as though it were a spider's web, he who ran throughout the world, he who cast his net into the sea, and fished the whole world." (In illud, Vidi dominum, 3, vol VI, 123[124])
"Peter, the base, the pillar...." (Hom Quod frequenta conueniendum sit, 5, vol XII, 466[328])
"He said not to Peter, 'If thou lovest Me, do miracles,' but, 'Feed My sheep'; and everywhere giving him more honor than the rest, with James and John, wherefore, tell me, did he prefer him?" (Hom 46[47] in Matt 3, vol VII, 480[485])
"After that grave fall (for there is no sin equal to denial) after so great a sin, He brought him back to his former honor and entrusted him with the headship of the universal church, and, what is more than all, He showed us that he had a greater love for his master than any of the apostles, for saith he: 'Peter lovest thou Me more than these?'" (Hom 5 de Poen 2, vol II, 308[311])
"He saith to him, 'Feed My sheep.' Why does He pass over the others and speak of the sheep to Peter? He was the chosen one of the apostles, the mouth of the disciples, and the head of the choir; for this reason Paul went up to see him rather than the others. And also to show him that he must have confidence now, since his denial had been purged away, He entrusts him with the rule over the brethren; and the fervent love which thou hast shown throughout, and in which thou didst boast, show now; and the life which thou saidst thou wouldst lay down for Me, give for My sheep." (Hom 88[87] in Joann 1, vol VIII, 477-9[525-6])
"It was not Christ's intention to show how much Peter loved Him, because this already appeared in many ways, but how much He himself loves His Church; and He desired that Peter and we all should learn it, that we may also be very zealous in the same work. For why did God not spare His Son and only-begotten, but gave Him up, though He was His only One. That He might reconcile to Himself those who were His enemies, and make them a people for Himself. Why did He also pour forth His blood? To purchase those sheep whom he committed to Peter and his successors."