That doesn't mean he doesn't vote.

Assuming he is permitted to vote both for his team and for Utah, he could attempt to sandbag the process, but the voting format limits this. My recollection is they vote in tranches of six teams. Unless this has changed, he could defensibly vote Oklahoma 4 and vote Utah 6 behind UGA. That could overcome two other voters who voted Utah 4 and Oklahoma 5. But if there is a clear consensus of Utah above Oklahoma, he can't overcome that. If it's pretty split, he can makeup one additional vote. Of course, since Baylor is ranked 6 spots ahead of Oregon, next week's games could sway someone to flip Oklahoma over Utah.

Of course, this also assumes that no one has a two-loss Georgia team in front of one-loss Oklahoma. Given that Utah is currently ranked above Oklahoma, it's possible someone decides to slot UGA between them. In particular, Oregon's AD has an incentive to sandbag OU to prop up Utah. And since Oregon's AD doesn't have to recuse himself for either Utah or OU, he can wax poetic about margins of victory or whatever factor helps Utah to overcome it's fairly weak schedule.