[OLD REGGIE]

"Nevertheless you see that Peter speaks first and sets things in motion, while James concludes the proceedings..."

Acts 15: 7 And after there had been much debate, Peter rose and said to them, "Brethren, you know that in the early days God made choice among you, that by my mouth the Gentiles should hear the word of the gospel and believe.

Peter was far from the first to speak.

The earliest example of a Pope exercising authority across the head of the local bishop is Pope Clement I reaching to Corinth to demand reinstallment of certain bishops over the head of no less a figure than apostle John! (Letter to the Corinthians).

It appears hardly to be a "demand" leter. Rather a pastoral letter from one Church to another.

[annalex]

Peter was far from the first to speak.

His words are the recorded words, but I agree, the scripture points to a debate that is not recorded.

a pastoral letter from one Church to another

Cortinth is not in Roman bishopric. The letter is a demand, not an advice. Have you read it? The papal supremacy is likened there to Aaron pulling the larger stick from among the 12 tribal priests.