Please note what Cyprian is saying, the Church is founded upon the bishops. This does not indicate one person in charge but multiple bishops in charge of their flocks under a Christian banner. Hence the churches of Revelation did not fall under one central Church but was their own entity.
Perhaps you should read what else Blessed Cyprian had to say before you comment.
’...thou art Peter and upon this rock I will build my Church’ IT IS ON HIM THAT HE BUILDS THE CHURCH , and to him that he entrusts the sheep to feed. And although he assigns a like power to all the apostles, yet he founded a single Chair, thus establishing by his own authority the source and hallmark of the (Church’s) oneness...If a man does not fast to this oneness of Peter, does he still imagine that he still holds the faith. If he deserts the Chair of Peter upon whom the Church was built, has he still confidence that he is in the Church? Cyprian, De Unitate Ecclesiae (Primacy text), 4 (A.D. 251).
There are more of these writings also.
I wish you a Blessed Day!