Any Wolverine fan who denies there is a Michigan-Minnesota rivalry is just talking smack.
That could be. It's also fair that I'm speaking anecdotally.
However, I've talked a fair amount of Big Ten football with MI fans. Their attitude is cocky, yep, but they usually say something like, "yeah, the jug is cool. It's really old. HOWEVER, in a typical season we would WAY rather beat OSU, State, and Notre Dame. That puts the jug at best the 4th most important game, and in reality far lower if we have big games vs. Iowa or Penn State."
Which is sort of like whichever team is behind Sconi, Iowa, and Michigan for us. Can't even think who that would be. I guess Penn State simply because there IS a trophy.
I define a rivalry game as follows: If your team is having a relatively crummy season, and you make the statement along the lines of, "Wow. This season sucked, but at least we beat >fill in team name here<," THAT team is your rival. The team against whom a victory can make an otherwise crummy season almost bearable.
In a crummy year Sconi would say that about MN, so would IA. I guarantee you Michigan fans were not saying that after they beat the Gophers 2 seasons ago.