Bama's strength of schedule is low because they play Vanderbilt and Tennessee every year. Their SOS suffers every year due to the fact that every SEC team they play is ranked below them.
Ours is high because we play Bama and the top 3 of the SEC East every year along with one strong OOC opponent. When we were the top team in the SEC our conference strength of schedule suffered too because the teams we played were ranked below us. It is not that the competition changes, but where your team is ranked within the competition.
Still, my hypothesis is based on fact. Dickey booked UCLA in Memphis as a headliner that helped build his program in 1965. Majors had games against Notre Dame, Southern Cal, and UCLA in the late 70's to build notoriety for his program. Recruiting was enhanced in both situations. Fan interest increased during both of those eras. If you want to be a national program you have to act like it. Just like Florida State and Miami in the 70's and 80's. They wanted to play anybody, anywhere, and anytime.
You do not lower your standards because you are not winning. I dislike Alabama with a passion, mostly because they have never played by the same rules that other SEC teams play by. But I do admire the fact that even on a 3-8 season they never considered lowering their standards.
Otherwise, we need to find a conference that meets our coaching and talent capabilities.