Sure, there is always the remote possibility that a one - loss team( when that one loss is to a 13-0 conference champ when it is the defined #1 team) gets in over a 13-0 conference champs.
Keep in mind that the committee is made up of the conferences and none of the conferences (absent the SEC) are going to want to promote the inclusion of a one-loss non-champ team to the deference of an undefeated conference champ. The narrative has been that going undefeated (see ND last year as a major example) is a significant accomplishment not to be easily dismissed as well as the conference title game serving as a "feeder" game to the playoffs.
They want to stay away from the eye test decision as much as possible.