Jesus... They're the same damn group! Yes the power of the Pope waxed and waned. The church and the nobility were intertwined! The Pope doesn't matter, the institution does!
And every coronation was done by at least an arch bishop. Who were a compromise between the church and the king.
And do you have any idea how incestuous the royal families of all of Europe were? Not just individually, but between each other
Your don't seem to understand the difference between hard and soft power. And my whole point is people in power flowed from Rome, to the church, to the aristocracy of Europe, to capitol
Hard and soft power. You really don't get it. Well, better than you just being a troll
I'll try to be as literal as possible for you. Rome split. The pieces continued to act like Rome behaviorally. The remaining institution of Rome, the Roman Catholic church, had incredible power over many of these pieces, even growing power for a time, then later soft influence, over most of Europe known as the holy Roman empire. The soft power of the church faded with the rise of capitalism.
We still act like Rome. The behaviors never ended. That's the through line