Answer : IN A HEARTBEAT!!!!! The NCAA rules are clear : If a player does something that makes him INELIGIBLE, the University will forfiet every game in which that individual played while he was ineligible.
The Precedent is there. After Alabama won the National Championship in 1992, Antonio Langham met with a sports Agent and was given $500 "ernest money" for agreeing to sign with the agent when he entered the NFL Draft. Well Langham decided to play his senior year. Right before Alabama's bowl game the next season Coach Gene Stallings learned of Langham's meeting (Alabama had gone a YEAR without knowing Langham spoke with an agent). HE immediately notified the NCAA, and nCAA records now record Alabama as going 1-12 in 1993.
Then why were there no sanctions or forfeitures related to Maurice Clarett at Ohio State, or Rhett Bomar at Oklahoma, when they were found to have received illegal benefits while playing for those schools? The individuals took the hit, the programs didn't.
The point to my original post is to illustrate the precedent you set when hammering the university for the actions of those outside the control of the university. You open the door for considerable abuse, even to where you expose the schools to the shenanigans of those who might wish to undermine the program.