I think most people expect us to lose at Louisville...which means we'd at best tie with SMU, and their sweep of us would really hinder our ability (even in a 3-team tie, say) to come out on top. For instance, if UConn-Memphis-SMU all tied at 12-6, it goes into mini-conference: UConn 2-2; SMU 3-?, Memphis ?-3. We're already locked into coming in second there.
Now, if we beat Louisville on the road, and finish 13-5, we still may get into the 4-5 game.
Looking at their schedules:
Cincy: Memphis, @Rutgers
UConn: Rutgers, @UL
Louisville: @SMU, UConn
SMU: Louisville, @Memphis
Memphis: @Cincy, SMU
Let's say UConn beats Rutgers and Louisville. That puts them at 13-5, and gives Louisville it's 4th loss. Let's assume Cincy beats Memphis at home and wins at Rutgers. They win the conference at 15-3.
Let's assume SMU wins at home and loses on the road. That makes SMU 13-5. It also drops Louisville to 13-5. Memphis would finish at 12-6. So the conference final standings at the top would be:
Cincy: 15-3
SMU: 13-5
Louisville: 13-5
UConn: 13-5
Memphis: 12-6
SMU would be 2-0 against UConn and 1-1 against Louisville...therefore 3-1
Louisville would be 1-1 against both UConn and SMU...therefore 2-2
UConn would be 1-1 against Louisville, but 0-2 against SMU...therefore 1-3.
Sticking us back in that 4-5 matchup.
Even if we beat Louisville, therefore, we need SMU to drop both their games, or we're in the 4-5 game.