Ther is no such notion in the Church, and Akin is not advancing it. He states that priests are "instruments God uses to channel his own forgiveness", in line with the Bible ("whose sins you forgive, etc."), and the patristic teaching on it:
CHRYS. Some say that by breathing He did not give them the Spirit, but made them meet to receive the Spirit. For if Daniel's senses were so overpowered by the sight of the Angel, how would they have been overwhelmed in receiving that unutterable gift, if He had not first prepared them for it! It would not be wrong however to say that they received then the gift of a certain spiritual power, not to raise the dead and do miracles, but to remit sins: Whosoever sins you remit, they are remitted to them, and whosoever sins you retain, they are retained.AUG. The love of the Church, which is shed abroad in our hearts by the Holy Spirit, remits the sins of those who partake of it; but retains the sins of those who do not. Where then He has said, Receive you the Holy Ghost, He instantly makes mention of the remission and retaining of sins.
GREG. We must understand that those who first received the Holy Ghost, for innocence of life in themselves, and preaching to a few others, received it openly after the resurrection, that they might profit not a few only, but many. The disciples who were called to such works of humility, to what a height of glory are they led! Lo, not only have they salvation for themselves, but are admitted to the powers of the supreme Judgment-seat; so that, in the place of God, they retain some men's sins, and remit others. Their place in the Church, the Bishops now hold; who receive the authority to bind, when they are admitted to the ram; of government. Great the honor, but heavy the burden of the place. It is ill if one who knows not how to govern his own life, shall be judge of another's.
CHRYS. A priest though he may have ordered well his own life, yet, if he have not exercised proper vigilance over others, is sent to hell with the evil doers. Wherefore, knowing the greatness of their danger, pay them all respect, even though they be not men of notable goodness. For they who are in rule, should not be judged by those who are under them. And their incorrectness of life will not at all invalidate what they do by commission from God. For not only cannot a priest, but not even angel or archangel, do any thing of themselves; the Father, Son, and Holy Ghost do all. The priest only furnishes the tongue, and the hand. For it were not just that the salvation of those who come to the Sacraments in faith, should be endangered by another's wickedness.
This is the Catechism on this matter:
Only God forgives sin1441 Only God forgives sins.39 Since he is the Son of God, Jesus says of himself, "The Son of man has authority on earth to forgive sins" and exercises this divine power: "Your sins are forgiven."40 Further, by virtue of his divine authority he gives this power to men to exercise in his name.41
1442 Christ has willed that in her prayer and life and action his whole Church should be the sign and instrument of the forgiveness and reconciliation that he acquired for us at the price of his blood. But he entrusted the exercise of the power of absolution to the apostolic ministry which he charged with the "ministry of reconciliation."42 The apostle is sent out "on behalf of Christ" with "God making his appeal" through him and pleading: "Be reconciled to God."43
...
1444 In imparting to his apostles his own power to forgive sins the Lord also gives them the authority to reconcile sinners with the Church. This ecclesial dimension of their task is expressed most notably in Christ's solemn words to Simon Peter: "I will give you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven."45 "The office of binding and loosing which was given to Peter was also assigned to the college of the apostles united to its head."46
...
1449 The formula of absolution used in the Latin Church expresses the essential elements of this sacrament: the Father of mercies is the source of all forgiveness. He effects the reconciliation of sinners through the Passover of his Son and the gift of his Spirit, through the prayer and ministry of the Church:
- God, the Father of mercies,
through the death and the resurrection of his Son
has reconciled the world to himself
and sent the Holy Spirit among us
for the forgiveness of sins;
through the ministry of the Church
may God give you pardon and peace,
and I absolve you from your sins in the name of the Father, and of the Son and of the Holy Spirit.48
39 Cf. Mk 2:7.
40 Mk 2:5,10; Lk 7:48.
41 Cf. Jn 20:21-23.
42 2 Cor 5:18.
43 2 Cor 5:20.
44 Cf. Lk 15; 19:9.
45 Mt 16:19; cf. Mt 18:18; 28:16-20.
46 LG 22 § 2.
47 Tertullian, De Paenit. 4,2:PL 1,1343; cf. Council of Trent (1547): DS 1542.
48 OP 46: formula of absolution.
“...and I absolve you from your sins....”
No other priests say this save the Latin ones to my knowledge. If what Rome means is the patristic understanding, then I suspect Rome could say that. Your patristic quotes are fine, Alex, but it doesn’t change what the Latin priest says. It all reminds me of the arguments about the filioque where Rome posits that it means something other than what it says.