I see no demands from Christ that His authority be obeyed. That is going beyond the scope of the quoted scriptures.
Spiritual Fathers 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!