and some of the school administrators were not fond of the rotating between divisions. Keep in mind that all 4 quadrants were not "naturally" arranged and some "rivalries" suffered from it. Keep in mind that Quad 1 was always a member of the Pacific Division and Quad 4 was always a member of the Mountain Division. Also, the WAC played an 8-game conference schedule, so teams would only play the other team from the paired quadrant 2 times every 8 years.

Quad 1: Hawai'i, Fresno St, San Diego St, San Jose St
Quad 2: Air Force, Colorado St, UNLV, Wyoming (aka the leftover quad 1)
Quad 3: BYU, New Mexico, Utah, UTEP (aka the leftover quad 2)
Quad 4: Rice, TCU, Tulsa, SMU

UTEP had issue with not being placed in a quadrant with the 3 Texas schools. BYU's issue was that its rivalry with Hawai'i suffered because they couldn't play each other as frequently anymore. I believe New Mexico wanted to be in the same quadrant as Air Force, Colorado St, and lesser extent Wyoming (geography reasons). I believe even UNLV and San Diego St were bothered by not being placed in the same quadrant or not being able to play each other as frequently. I believe both BYU and Utah would have preferred to be placed in a quadrant with Air Force, Colorado St, and even Wyoming for geography reasons. Finally I believe Quad 2 and Quad 3 were unhappy about playing the CA schools less than before.

Protecting conference rivalries and being able to cleanly divide up the members into 4 quadrants could be 2 reasons why a conference may be reluctant to expand to 16 members and/or even consider using the rotating quadrant method. The SEC has too many rivalries it wants to protect, so it is unlikely they would use the rotating quadrant method. Instead it is more likely the SEC would opt for 2 permanent divisions and increase the number of conference games to 9 (if 'Bama and Auburn remain in the West) so teams could have 1 protected cross-division game and 1 rotating division game. Now if 'Bama and Auburn switch to the East, then look for the SEC to remain at 8 conference games and 1 rotating cross-division game. The Big Ten may not go for it because it has a lot of groups of 3s that could make things a little messy when creating the 4 quads.

Wisky-Minn-Iowa
Neb-KS-OK
Penn St-Rutgers-UMD

The only "natural" quad the Big Ten has right now is the 4 IN and IL school. However, that quad could have a negative impact on the groups of 3s listed above and what to do about Michigan, Michigan St, and Ohio St which could be a group of 3 by default.