I agree with what you state. And, in the case of Peter, you do not see any other place in the New Testament where he is spoken of as "the rock". Rather, you see him, along with James and John, "reputed to be" pillars of the church. He certainly took an active role in the leadership of the early church. But one does not see him as being the prime apostle at any time after Pentecost.
Truly I see Peter as a humble man - or better still, a humbled man, like Paul. Certainly Cornelius was directed to him by the angel - and Paul and Barnabas went to Jerusalem for a decision concerning Gentile converts and Peter spoke up.
But Peter's boldness concerning the gospel was never self aggrandizing. Thus if any of us deign to walk in the footsteps of Peter, it will be walk of humility - as it would have been for anyone trying to walk in the footsteps of Abraham.