Your interpretation of that text cannot be correct. An attentive New Testament perspective shows that men upon this earth are frequently called "father" ---
including, explicitly, men who were their religious leaders --- and there is no offense.
This is not to "explain away" the "call no man Father (or Master or Teacher" )text, but to call for a deeper application, a more thorough absolutizing of the Messiah as the ultimate Father, Master and Teacher.
Matthew 1:2
Abraham was the father of Isaac, and Isaac the father of Jacob, and Jacob the father of Judah and his brothers
Matthew 4:21
As he went from there, he saw two other brothers, James son of Zebedee and his brother John, in the boat with their father Zebedee
Matthew 15:4
For God said, ‘Honor your father and your mother,’ and, ‘Whoever speaks evil of father or mother must surely die.’
Mark 15:21
They compelled a passer-by, who was coming in from the country, to carry his cross; it was Simon of Cyrene, the father of Alexander and Rufus
Luke 1:67
Then his father Zechariah was filled with the Holy Spirit
Luke 2:33
And the child’s father and mother were amazed
Luke 8:51
...He did not allow anyone to enter with him, except Peter, John, and James, and the child’s father and mother
Luke 15:20
So he set off and went to his father. But while he was still far off, his father saw him
Acts 7:2
And Stephen replied: “Brothers and father, listen to me. The God of glory appeared to our father Abraham
Acts 7:4
Then he left the country of the Chaldeans and settled in Haran. After his father died, God had him move
Acts 7:8
Then he gave him the covenant of circumcision. And so Abraham became the father of Isaac and circumcised him on the eighth day; and Isaac became the father of Jacob
Acts 22:1
“Brothers and father, listen to the defense that I now make before you.”
Romans 4:16
...those who share the faith of Abraham (for he is the father of all of us,as it is written, “I have made you the father of many nations”)
1 Corinthians 4:15
Indeed, in Christ Jesus I became your father through the gospel.
Ephesians 6:4
And, father do not provoke your children to anger
Philemon 1:10
I am appealing to you for my child, Onesimus, whose father I have become during my imprisonment.
1 John 2:13
I am writing to you, father, because you know him who is from the beginning.
The Church has always understood this to be proper.
Think this was wordy? Only because of the multiple times men are called "father", without objection, in the NT.
Multiply that for the times when men are called "Master" and "Teacher" --- points I never see addressed along with "Father" -- and you have undeniable proof that Jesus' injunction had a much deeper significance. It's superficial to think that the point is whether we call men fathers, masters or teachers. The real point is maximizing the authority of the Messiah.
And the inverse of ‘call no man father’ is...
Call Mary the Mother of us all.