I'm not sure what more evidence you're looking for. Every metric I can find has the Big 12 as a top 4 conference, and the American at 8th or worse, with a large dropoff after the Power 5. There were only 6 head-to-head matchups that I could find, which is not nearly enough to determine much of anything, especially since only 8 of the 22 teams in the conferences were represented. Yes, the Big 12 lacks elite teams besides Baylor, but the mid-level teams in the Big 12 are almost universally better than their counterparts in the American.
Yes Baylor demolished Kansas. That Kansas team is easily the worst in the conference, but would still be favored to beat 7 teams in the American.