Matt Hardy was never as over as Edge, at any point of his career, but he's a much better wrestler. Better worker, better at pacing a match, better at making his opponents look good, better at match psychology. Also, for all his faults, Bubba is lowkey brilliant at match psychology, too. I would say that they carried the TLC matches the three teams were involved in. Christian is also a lowkey better wrestler than Edge but, like Matt, never as over.
Edge is a better wrestler than Jeff Hardy, but Jeff had the sort of effortless charisma that Edge only thinks he had. Edge benefited enormously from having the right look, and the right people supporting him, not unlike Shawn Michaels. Only the difference between Edge and Shawn is that Shawn, much as I hated him, was legitimately a good worker.