Personally I most appreciate the way that Arminian Catholics approach Primacy. Follows a selection of texts from their saints and fathers. A very different perspective:http://www.stgregoryarmenian.org/the-armenian-church/primacy/
St. Gregory of Nareg(c. 950 – c.1010) articulated a marvelous and insightful ecclesiology and it is in that context that we must read his understanding of Peter’s primacy.
And his (Jesus Christ) companion of yoke (Cross) and of destiny
The first one, preceding all others and most honoured,
The foundation rock and cornerstone,
The renowned stone beautifully inscribed with the sevenfold confession,
In the measure -begun and to be fulfilled-
Of sacramental time in this age,
And adorned with glory,
By the lips of the giver of life,
Made alert and wise
By the beneficence of the Father most high.
Docile in the correct confession
Of the Spirit’s intellection,
He saw the timeless cause
Of the inscrutable birth,
And deservedly 127 was augmented
By the words of the uncreated:
“Blessed are you Simon, scion 128 of Jonah.”
And through him,
To those who hold his same covenant and office,
Was announced the same blessing
From the voice -indescribable gift-
Of the creator. (The Teaching of the Armenian Fathers, p. 385).
St. Nerses Shnorhali (1102-1173) proclaimed this very same Apostolic preaching in its integrity and genuine beauty. The obvious place to begin is his Commentary on Matthew.
Expounding on Peter’s response to his Master’s question, he writes:
Simon the head took the initiative in answering about the theology of the Head, so that no one else might say stupidly what is unfitting and leave an evil memory in this world. Indeed this was the very beginning of things to come and what was going to be said then would endure as constitution and canon to those who followed. This is the reason why the disciple of truth spoke the truth saying: “You are the Messiah, the Son of the Living God.” (Teaching of the Armenian Fathers, p. 389).
Four points are stated in Christ’s investiture, explains Shnorhali. (Ibidem, p. 391-392). The first is Christ the Lord shows himself equal to the Father: “As the Father granted you to know me, similarly I constitute you Rock of the faith,” Secondly, “I shall build my Church on your confession of faith,” The Church, not only the physical building, but the one built from many peoples on the unity of faith as foundation, that is the Lord, and his Apostles. Thirdly, the power of evil -expressed by the image ‘gates of the underworld’-, that is temptations, shall never move this faith, “as the swells of the sea can not move the rock.” Shnorhali exclaims: “Look at the power of the Lord! He made a fisherman harder and firmer than all rocks! Even if the whole world will attack him he will not move.” Fourth, Christ promises to his Apostles the gifts granted to the prophets: the Father had said to Jeremiah “I put you as a pillar of iron, and as a wall of bronze” (Jer. 1:18). for his people; and the Son constitutes Peter the same for the entire world.
Shnorhali concludes with these words, “He elevated Peter to extremely high honour, because the disciple understood the highest things about Him and revealed His person to be the Son of God and promised him authority that belongs only to God, namely
remitting sins and keeping the Church unshakable through all the swells
breaking on her” (Ibidem, p. 391-392).