Petrino will try to utterly destroy what little of a program we have. He's absolutely going to run the score up as much as he can. Up 5 touchdowns with a minute left and 4th down and goal..they'll go for it.
Kind of depends, really ...
Does UK have non-participant players attempt to pick a fight with UofL's players, or does UK attempt to warm up by jumping up and down on the Cardinal Logo at midfield? Then Petrino will probably do everything he can to break Georgia Tech's record margin of victory in a college football game.
If none of that happens, but instead if UofL is 10-1 and by some miracle we are playing in the ACC championship game the following weekend, then it would definitely be counterproductive to attempt to beat UK by as many points as possible. You play to win the game, and once you have victory in hand, you empty the bench and keep your starters from being injured, so that they are ready for the ACC championship game.
If instead UofL is 10-1 but is shut out of the ACC championship game, and if UofL needs an impressive win to give it a chance to make the College Football Playoffs, then you attempt to run up the score like Michigan did on Rutgers this past weekend.
And if UofL is 9-2 or worse coming into the game, then I think you are back to just winning the game and retaining the Governor's Cup. Bragging rights apply whether the margin is 1 or 100.