Here's the list of channels and times of the game (Mountain Time) since BYU went Independent and Utah went to the Pac-12 and the games weren't on the Mountain.
2011 - 7:15 PM on ESPN2
2012 - 8:00 PM on ESPN2
2013 - 8:15 PM on ESPN2
2015 - 1:30 PM on ABC (Las Vegas Bowl)
2016 - 5:30 PM on FOX
2017 - 8:15 PM on ESPN2
2018 - 8:00 PM on FS1
2019 - 8:15 PM on ESPN (Thursday)
2021 - 8:15 PM on ESPN
2024 - 8:15 PM on ESPN

So of the 10 games since leaving the Mountain West and the Mountain, the rivalry was relegated to the late game 7/9 times (not counting 2019 since it was a Thursday game and games aren't played during the day) and was relegated to ESPN2 four times. No nationally relevant rivalry is getting relegated to those times and ESPN2 that often especially when most of these games were played in September when most of the blue bloods were playing cupcakes. I'll probably get a lot of thumbs down for this but that's fine, these are facts. BYU vs Utah is not a nationally relevant rivalry even though many here seem to think it is.