I worked in Duchesne county for years. Ft Duchesne and Whiterocks (and a smattering of places around there) are what currently constitutes the Ute reservation. I can assure you all that 99% of Utes are die hard Ute fans if they care about collegiate athletics at all. Take one trip to the area and you will see VERY quickly how happy the Ute tribe is to associate with the UofU. They use the UofU ‘U,’ and UofU colors on just about everything in those towns. Heck, they named the local high school (not affiliated with the Ute tribe) the Utes, and have a U that is almost exactly identical to that of the UofU… and yeah, their colors are exactly the same.
I’m sure there are a few grumps in the crowd, but that is the case with every group.
Also, spend 15 minutes driving through the reservation, and you can immediately tell that the Ute tribe has far more important things to worry about than the UofU using their tribe’s name.