No they aren't. They are to settle which team won the games in the playoff. Are we really pretending that even the huge-field basketball tournament settles the "rightful champion"? It just allows us to go, yeah, sure, good run, congrats, and move on.
For example, let's say Alabama loses by 1 in the opening game to, say, a UCF. UCF loses to Clemson. Are we really pretending that Clemson is the "rightful" national champion? Or how about make it Georgia, after losing to Bama in the SEC game? Come on. Losing one game in the playoff doesn't prove that the eventual winner is the "rightful champion."
Playoff Champion, sure.
...how does it not? Why does a team deserve something without earning it?