In the early church, up to the East-West split, it is telling that when key decisions and doctrine were debated and determined- via church-wide councils, NONE of them took place in Rome. If Rome was in fact the “center” of Christianity and/or if the Roman Pope was the most “important” bishop of the church, wouldn’t at least 1 or 2 of these councils take place in the “seat” of the worldwide church? Comparing to today, via the United Nations: Many important meetings and general assemblies of the U.N. take place at its home base- in New York, NY. But also on various occasions the UN has sanctioned general assemblies at important/critical worldwide cities like London, Paris, and Geneva. Even though Madagascar is an equal nation member of the General Assembly, there have been no key U.N. meetings in Madagascar. Indirectly, that may show something.
Locations of the (7) ecumenical councils of the Church (all prior to the Great Schism of 1054):
325 AD - Nicea (currently Turkey)
381 AD- Constantinople (currently Turkey)
431 AD- Ephesus (currently Turkey)
451 AD- Chalcedon (currently Turkey)
553 AD- Constantinople (currently Turkey)
680 AD- Constantinople (currently Turkey)
787 AD- Nicea (currently Turkey)
These seven universally accepted church councils took place in 4 locations. Mostly within Constantinople, one of the first (2) patriarchates of the church. In addition, three other locations where chosen- but none of them being in Rome. This may only be an anecdote or a coincidence, but it seems rather telling.