Pope St Leo believed in a triune Petrine See. So none of the quotes which speak in such a manner of Peter's see are properly applied by Roman Catholics.
The simple reality is that the modern Roman Catholic church believes in practice in a universal Bishop (condemned by St Gregory the Great, Pope of Rome) the rest of them being an afterthought. This cannot even be compared to the RCC at Florence and is a product not of the second Vatican Council, but the first. This resulted as well in mass defections into what was the nascent Old Catholic movement.
The doctrine of infallibility is a proof of this.
The structure of the Church is such that if the Roman Catholic Church was the way the Church was supposed to be, much of Church history never would have happened. In response to such a claim that it was a "development of teaching", why did such a central part of their church's teaching today take over 1,500 years to develop, most of that period being a virtually non-existent idea?