The momentum won't swing (if at all) until we lace 'em up and play this season. That's ridiculous to say it is swinging right now. That sentence sums up why there is an entire thread on this message board dedicated to making fun of Urban Meyer's deification (Countdown to the Urban Myth).
As far as who has outplayed who, that's irrelevant. Any way you want to slice it, UT has won 3 out of the last 4 games, and the last two in your fabeled Swamp. Citing who gained more yardage is also irrelevant. Yardage doesn't account for field position (we had a great punter last year), turnovers, defensive touchdowns, etc. UT has outgained Florida several times, most notably in the infamous 1996 game at Knoxville, yet no one on this board would argue that we outplayed the Gators that year.
We also had a higher ranked recruiting effort this past offseason. I don't see these facts (that's what they are, facts) as signs of a change in momentum.
Meyer may turn out to be a great coach, but it is very unwise and foolish to suggest that somehow UT's current momentum (both as a program and over the Gators) is slipping just because Meyer's sexy offensive system and his infamous "Champions Club" have garnered so much attention from the college football world this offseason.
Jim Rome is an idiot, and not just because of the statement you quoted. Meyer is inheriting more talent than he had at Utah, yes, but he is no longer playing the likes of Air Force and BYU. In short, there are several reasons why Florida may not be great. They include Alabama, LSU, Georgia, Tennessee, and Florida State.
As for Beano Cooke, that crazy old man is famous for his prediction that Ron Paulas was going to win a couple of Heisman trophies while playing QB for Notre Dame (oops . . .). He also predicted UT to win the National Championship in 2002, so I wouldn't be boasting about his prognostications if I were you.