Yes, Peter had authority. That doesn’t imply the Bishop of Rome does.
There’s no reason to equate Peter with Rome/Bishop of Rome every time.
For us, all the bishops have the keys. All the bishops are Peter. So a few quotes with 0 relation with Rome’s position in the Church are going to change our view.
I understand your position, I know you think the keys were handed to the entire corpus of the apostles.
However, as you know from Scripture, kings and prophets would personally anoint their successors in office, therefore it makes perfect sense that the successor that Peter appointed to his final office - that of Bishop of Rome - was also anointed with the full Petrine authority.
An example is David. Of his many descendants, we know it was Christ who inherited the seat and keys of David. It would not be proper to say that all of David’s descendants succeeded him, for there is one lineage alone. This argument can be applied to the lineage of the Holy Orders as it concerns every episcopal see.
The issue is that we are accustomed to the ways in which the world goes as far as community goes. We forget that God’s will must be done on earth as it is in heaven. That there is a hierarchy of the Church Triumphant that is reflected in the Church Militant. That just as there is one flock with one divine shepherd, and one body with one head, there is one visible Church with one visible leader - the Vicar of Christ - and all others are joined with him - yes, even the Orthodox Church, in fact all baptized Christians, although with different degrees of communion.
This is the concept that s. Cyprian of Carthage expresses around 248 AD when he writes: “
He who deserts the chair of Peter, upon whom the Church was founded, does he trust himself to be in the Church?” Not that they were not members of the Church, but that there was an injury to communion between the members of the Church.
Nobody is questioning the authority of bishops that are in the lineage of apostolic succession - except those who have fallen into heresy, which of course is not the case with regards to our Orthodox brothers - and in fact the Church Fathers exhort us to “follow our Bishops as Christ follows the Father”. The issue here is the authority over the very shepherds that Christ has given to the office of he who holds the Apostolic See.
Anyways, we will both (I mean, humbly, the Catholic Church and the Eastern Church) have to be willing to cover our heads in ashes and embrace some actual sacrifices - the kind that hurts - in order to fix the division that has been present for way too long. It is bound to happen, for we truly are so close as to almost be in full communion.