Not to change the subject, but it doesn't overly matter as applies to LSU. They're plausibly a top 10ish all-time program (I've seen various lists using various metrics have them between about 9 to 13 or so....but haven't checked in a couple years and I could never ascertain how they weighted their categories). ymmv on what constitutes a "blue-blood," but there seems to be an erroneous perception that LSU had no history when Saban showed up.
THE consensus "blue-bloods" of college football are the top 10 programs of all time, by win%:
(in no particular order) ND, UM, OSU, Neb, OU, USC, Tex, Bama, Tenn, Penn St
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Those are the blue-bloods going back to the beginning. It's still those 10. Then after that, you have, as I've noted in the past, the FL teams and other SECers (in order, FSU, UGA, LSU, Florida, Miami, Auburn).
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So it stands to reason that of the 2nd group that have had some kind of major success in the last 22 years, those would be the ones replacing the standard BBs' seats at the table. Nebraska has been down awhile, Tennessee before this year, Texas up-and-down, etc....
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If you're thumbing your nose at the traditional BBs, consider this: while Tennessee is 10th in all-time win% and UGA 12th, the Dawgs only have 3 fewer wins than the Vols, but 20 additional losses. And that's with the disparity in the programs the past few years. It takes a long time to "make up" 20 losses.