Yes, if Utah loses Saturday to Oregon, it provides them a much better chance at a Rose Bowl berth. Allow me to explain...
Assuming Oregon wins at Utah on Saturday and at home to OSU (likely but not necessarily a given), and Utah beats Colorado at home (pretty much a given), Utah then plays Oregon in the p12 conference championship.
If Oregon wins the championship game and goes to the playoffs, Utah as the losing team would be selected as the p12 rep for the Rose Bowl. If Utah wins the championship game, they would go as the p12 rep to the Rose Bowl game.
Either way, Utah goes to the Rose Bowl game..... So why not hedge your bet by losing to Oregon on Saturday? If they beat Oregon on Saturday, then the Rose Bowl goes to the p12 winner, not automatically to Utah as in the scenario above.
lol....ok, the Ute coaches may not think that way, and I'm not suggesting anyone "throws" the game vs Oregon....but in reality, if Utah loses on Saturday, they actually very likely win.
And remember, Utah (like Arizona) has never been to the Granddaddy of them all.
Just thinking that would be a crazy p12 championship game, where Utah has nothing to lose by losing (except being crowned p12 champs)....and a coveted Rose Bowl berth to gain no matter how the game ends up.