Except Pitt's schedule is so bad, that they would not go to the NCAA Tournament with 20 wins.
Let's assume Pitt runs the gauntlet and manages to win those five rugged non league games remaining, and enter Big East play 12-1. 8-10 in the Big East is not getting them in, because 20-11 isn't very impressive when the resume is completely empty like Pitt's:
-Best non conference win: Detroit, who is having a down year? Umm...OT win vs Oakland? LOL.
-Best non conference road win: N/A. Pitt didn't play a single non conference road game!
Nobody cares that Pitt is going to be 12-1, because they've played ONE decent opponent, and lost that game. They would have been better off playing 2 or 3 other good teams, splitting the games, and heading into the Big East 11-2 or 10-3. At least they'd have some sort of resume to point to. Now they have nothing.