I’ve seen similar positions elsewhere on CC. School A has SAT scores 100 points lower than school B, yet school B is somehow the one with the uphill climb. This is particularly true where school A is a mega-university with a prominent football program, and school B is a more undergraduate-focused college. In this hypothetical, it is school B, in my opinion, that has both the statistical and intrinsic advantage in any comparison.
And why not let the B stand for Binghamton.