Sorry... I didn't see a point to all that.Christ and his church are one! Acts 9:4 Jn 15:5 eph 5:32 Matt 5:14 1 Tim 3:5
The church teaches what Christ revealed eph 4:5 Jude 1:3 Matt 28:19 acts 1:8 Jn 20:21-23
The teaching authority of Jesus Christ extends to Peter and the apostles and their successors
They are not impeccable
Like Moses Josuha and their successors in Matt 23 they are not impeccable but they are to be believed by the commandment of Christ.
Isa 53:1 Who hath believed our report? and to whom is the arm of the Lord revealed.
To believe Isaiah is to believe God
To believe the apostles is to believe Christ Lk 10:16 Jn 13:20
Spiritual Fathers (apostles) have care for our souls!
Acts 20:28 Take heed therefore unto yourselves, and to all the flock, over the which the Holy Ghost hath made you overseers, to feed the church of God, which he hath purchased with his own blood.
Jn 21:17 feed my sheep:
Heb 13:7 Remember them which have the rule over you, who have spoken unto you the word of God: whose faith follow, considering the end of their conversation.
Heb 13:17 Obey them that have the rule over you, and submit yourselves: for they care for your souls, as they that must give account, that they may do it with joy, and not with grief: for that is unprofitable for you.
1 Tim 1:2 Unto Timothy, my own son in the faith: Grace, mercy, and peace, from God our Father and Jesus Christ our Lord.
Gal 4:19 My little children, of whom I travail in birth again until Christ be formed in you
1 John 2
My little children, these things write I unto you, that ye sin not.
That makes Paul and John spiritual fathers, pastors of our souls!
Not impeccable but commanded to teach and sanctify all men Matt 28:19 and govern the church administer the kingdom till Christ returns
Infallibility only applies with full apostolic authority to the universal church on matters of faith & morals and is a rare occurrence thanks
I don't think "not impeccable" and "infallibility" are the same.
So only your last sentence would address any point I made or asked.
And that was only opinion.