Well, regardless of the tie with Alabama being forfeited in 1993 (both Florida and Tennessee finished 7-1 officially) Florida won the head-to-head contest 41-34.
However, in 2003, all tie-breakers were exhausted with no clear cut winner between Tennessee, Florida, and Georgia. Mid-season, the athletic directors changed the final tie-breaker.
Previously, the athletic directors at the non-participating schools voted on which team goes to the SECCG when the tie was not broken.
However, the mid-season change included using the BCS formula to decide the SECCG participant. But because Tennessee was rated higher than Georgia in the BCS at the time of the change, the "Tennessee" rule was included. The top ranking team in the BCS had to be 5 spots higher than the next team... if the next team were within 5 spots, then the 3rd highest team ranked (regardless if they are within 5 spots of the 1st place team) is eliminated... and then the head-to-head matchup of the top 2 teams is looked at.
Interestingly enough, had Florida beaten Florida State last season (a non-conference game deciding the SECCG participant?!?) .... they were projected to slide in front of Tennessee in the BCS within 5 spots of Georgia and go to the SECCG. Also, another non-conference game, Georgia-Ga Tech, could have put the Vols in the SECCG had Ga Tech won, regardless of the Fla-FlaSt outcome.
The week leading up to all 3 teams final games, Georgia was rated 7, Tennessee was rated 8, and Florida was rated 11. However, Georgia beat Ga Tech and stayed at 7... Tennessee beat Kentucky and dropped to 9... and Florida lost to Fla State and dropped to 14.
Regarding what is claimed.... Auburn claims to have won or tied for 4 of the last 5 Western Divisional Crowns. However, they have only been to the SECCG once in the last 5 seasons (2000).
In my opinion, the tie-breakers are used to decide the SECCG participant. All the schools will make a claim to at least a share of the SEC Divisional Crown if their is a tie. I don't think the SEC officially recognizes Divisional Champions, so each school spins it their own way for rings, banners, trophies, recruiting, etc.