I'm still not sure I understand. In the short form of confession in the little red prayer book, the priest says "I have not power on earth to forgive sins, but God alone; yet through that divinely spoken word which came to the Apostles after the Resurrection of our Lord Jesus Christ, saying: Whosoever sins ye remit, they are remitted, and whosoever sins we retain, they are retained, we too are emboldened to say: Whatsoever thou hast said to my most humble self, and whatsoever thou hast not succeeded in saying, either through ignorance, or through forgetfulness, whatever it may be: God forgive thee in this present world, and in that which is to come"
It sounds a lot like it's saying, the priest as a person does not have authority to forgive sins, but by the words of Christ, as a priest he is able to forgive the sins, delivering God's forgiveness through the priest.
And the Western Rite form of confession has this prayer: "The almighty and merciful Lord grant unto thee pardon, absolution, and remission of thy sins. Amen. Our Lord Jesus Christ absolve thee; and I by his authority absolve thee from every bond of excommunication and interdict, so far as I have power, and thou hast need. Furthermore I absolve thee from thy sins, in the Name of the Father, and of the Son, and of the Holy Ghost.Amen. Our Lord Jesus Christ, who hath left power to his Church to absolve all sinners who truly
repent and believe in him, of his great mercy forgive thee thine offences; And by his authority committed to me, I absolve thee from all thy sins; in the Name of the Father, and of the Son and of theHolyGhost. Amen"