Is Luke 22 the Strongest Passage for Papal Supremacy?

Luke 22 is often presented as one of the strongest biblical arguments for the papacy—but does it actually establish papal supremacy? After a recent conversation with Joe Heschmeyer, I found myself revisiting the passage and wrestling with a distinction that I think changes the entire discussion. What if Peter’s prominence is undeniable, yet still not enough to get where Rome needs it to go?