Washington St. all this season, Utah could afford to lose every single one of those games and it wouldn't affect our SOS at all. And in the case of Washington St., you could argue that WSU beating Utah would actually HELP our SOS because not only do we play them, but 5 of our opponents play them as well (which is the most common opponent of our opponents).

IOW, if Utah loses those 4 games moving forward and finishes 6-6, it actually does nothing to hurt our strength of schedule because it means other teams we played won.

And losses against UCLA, Colorado, Oregon St., and Stanford would also have fairly minimal effects on our strength of schedule because they are a common opponent for 4 of our opponents; and even Oregon beating Utah doesn't hurt too much because, again, we have 3 of our opponents who play them.

Basically, BYU's SOS is tied moreso to the overall strength of the PAC-12 and not to the strength of Utah specifically. Unfortunately, the team we should probably root for the most is Washington St. but they may be the worst team in the conference (or 2nd worst behind Arizona). After that, it's simply hoping that UCLA and/or Colorado don't win the PAC-12 South because we want one of our opponents to win that division.

Acknowledging that Washington St. and Arizona both suck, probably our best case semi-realistic scenario would be for USC and Arizona St. to finish 1-2 in their division(in any order), and then it doesn't really matter what the finish is afterwards (SOS would argue Utah in 3rd, but the benefit is marginal). In the North Division, it doesn't really matter who wins. Washington St. would be best, but also the least likely to win.