That is your interpretation.
The word POPE comes from the latin “Papa” which means Father and/or Spiritual Leader.
You are confusing everything that you think should or should not be noted in the Bible, with “language”
Not everything regarding various religious “sectarian” belief, doctrine, or traditions will be found in the Bible.
Please recall that you’re the one who is citing the Bible as your source for Peter being the first Pope, not me.
I think there’s a verse towards the end of the New Testament maybe that states we are not to call any religious figure “Father” because we have only one Father and that is God in heaven.