"Or otherwise incentivized to give unfair treatment to the B1G and SEC?"
I think there very definitely is pressure that is applied. Not bribery. Not overt "you have to do it this way." But there's a cool kids table in college sports. And the cool kids table is occupied by the SEC/B1G. Many people employed by institutions that don't sit at the cool kids table right now hope to sit there some day. And even if they won't, they don't want the scorn coming from that direction.
"Do we believe they’d all compromise their integrity like that? They’re not even all from B1G or SEC schools, there’s people from all over the place."
People all over America, from 7th grade to the highest levels of America compromise their integrity by trying to look cool and fit in with the cool kids.