world of athletics and one does not.

BYU knows it's not quite elite and has desired membership in the exclusive club, so it doesn't take its membership for granted or that it means it's going to be desired by Big Ten or SEC. BYU also knows others perceive it to be weird, so BYU is sensitive to that and tries, even if it can't quite accomplish that, to be normal. It also embraces itself for what it is, sponsored by a religious institution, like it or not.

Utah fancies itself as superior to BYU in all ways because of its membership in a club that has disbanded.
Utah fancies itself on par with Stanford, Cal, Michigan, Ohio State, Wisconsin, Oregon, USC and UCLA academically. (Yet, those in administration in those places would not agree and consider Utah a little brother, quaint, a Mormon school despite Utah's protestations to the contrary).
Utah fancies itself a power football program similar to tOSU, Michigan, USC, Bama, Georgia or even Tennessee.
Utah fancies itself more sophisticated, like the blue bloods in San Fran, Beverly Hills or Seattle.
Utah feels it belongs when it will never belong.

Colorado has many of the same attributes though it did not succeed in the Pac12 in football, and may struggle again once Deion departs. Yet, Colorado is not delusional regarding its status in the world despite being a bigger player.