The scenario I originally laid out, which is possible, but I would argue is highly improbable is Florida winning out which means also beating Bama @ Bama and then winning the tournament.
But, for sake of argument, i'll address your scenario where florida loses at Bama and Bama loses to Auburn.
In your scenario, if at the SEC tournament, it went chalk.....right now that would mean Florida would have to beat OleMiss, then Alabama, then Auburn. Bama would have to beat A&M, Florida, then Auburn. Then, yes, I think they would leap frog to a 1 seed.
I think again people are dismissing the human element and I think that it's not entirely data driven. From the Florida resume standpoint, right off the bat, the #1 overall seed would be Auburn who would finish the season (under this scenario) with three losses. Two them would be to Florida and neither of those games would be played in Gainesville. That alone, I think would cause people to pause considering (again under these circumstances), Alabama would be 0-2 vs. Auburn, Tennessee would be 0-2 vs. Auburn (losing in the SEC tourney semis), and Florida would have also split with Alabama (losing @ Alabama, winning at the tournament) and Tennessee on the season.
I could be wrong. And as I've said before, I'm worried about the draw and not the seed. When the bracket comes out, I may be overjoyed to be the #2 seed instead of the #1 seed. Who knows?
I also believe that for this to happen I think the tournament needs to be "chalk". If games at the tournament are against Kentucky, A&M, Ole Miss, etc., because of upsets.....then, I think Alabama and Florida have no shot and I would expect Tennessee to get the nod as the 1 seed even if Bama or Florida won the tournament.