I 100% guarantee you that if there is a player that won a conference championship, including the 1991 team that beat Miami, they value that Championship over a single regular season win. That's not to say that the game didn't matter... but the Championship matters more and holds more value to them.
In fact here is a good test for you... run on over to the UCF fan forum, message board.... and ask them. Ask them if they would trade their AAC Conference Championship over a win at Camp Randall against Wisconsin. Post the link here so we can follow it...