I can see this even with Arkansas leaving for the SEC. Utah will always be BYU's biggest rival. It has been 10 years since they were in the same conference and it hasn't changed. In another 10 years it will not have changed. It most likely will never change.
The good news for Arkansas fans.....Texas is coming the SEC so they will be able to play them again.....and yes, it will be a huge game for them because of their history and the fans belief in the rivalry.