(1) CFP rankings do nothing in determining tiebreakers. The SEC stopped using rankings in tiebreakers in 2014.
(2) Overall losses don’t factor into conference standings, only the results of conference games (one of A&M’s 3 losses is to Notre Dame, an out of conference team; A&M only has 2 in-conference losses)
(3) Texas A&M beating Texas and Tennessee beating Vanderbilt would create a 4-team tie between A&M, Georgia, Texas, and Tennessee.
Since the 4 teams didn’t all play each other and all 4 had the same record against their common opponents (Florida and Mississippi State, which all four teams beat), it would go to A&M would win the 4-team tiebreaker based on conference opponents’ conference win percentage (A&M’s would be 0.4688, UGA’s would be .4531, Texas’s .3906, and Tennessee’s 0.3750).
With A&M separated into the conference’s top spot, it would then become a 3-team tie between Georgia, Texas, and Tennessee…while they didn’t all play each other (Tennessee didn’t play Texas), Georgia beat both and would win the tiebreaker.
(Tennessee would actually then end up in 4th place behind Texas in the end due to the record against common opponents tiebreaker…both played Florida, Georgia, Kentucky, Vanderbilt, Mississippi State, Arkansas, and Oklahoma: Texas went 6-1 vs these teams, Tennessee went 5-2 vs these teams.)
Not sure it works that way, friend (the first bolded part of your note).
I think the first tie-breaker applies even if all the teams haven't played all the others that are tied. (and you agree at least in part, because you invoked the first tie-breaker at the second bolded bit even though they didn't all play each other).
So here's how I think the first tie-breaker actually works--we can do two scenarios, one where A&M beats Tex, and another where Tex beats A&M. In either case, we have to assume the Vols have beaten Vandy (or why have this discussion?):
A&M beats Texas -- all four contenders are 6-2 in conference: Vols, UGa, A&M, and Texas.
-- UGa's record among the four tied teams is 2-0 (beat the Vols, beat Texas)
-- A&M's record among the four is 1-0 (beat Tex)
-- Vols' record among the four is 0-1 (lost to UGa)
-- Texas's record among the four is 0-2 (lost to UGa, lost to A&M)
Since 2-0 (UGa) and 1-0 A&M are the best of those four records, those two go to Atlanta.
Texas beats A&M -- that eliminates A&M, with 3 conference losses. Texas is automatically in, at 7-1. Then UGa (6-2) beats the Vols (6-2) in the first tie-breaker, because they beat us head-to-head. So Texas and UGa are in.
So it really does come down to UGa against the winner of Tex-A&M, without ever getting past the first tie-breaker.
That's how I think it works. Could be wrong.
Go Vols!