Every conference goes .500 within its own conference, somebody must win and somebody must lose unless there is a tie. To build your conference's RPI the conference must win non-conference games.
I still say that the 3rd part of the RPI formula (25% x opponents opponents winning %) will be stronger if UL was to lose to a conference opponent rather than a non-conference opponent.
The reason again and I will use the same example of Miami-Ohio and FAU. Our opponents opponents winning % is affected much more in a positive way with a lose to FAU rather than a lose Miami-Ohio because we play many more teams that have FAU on their schedule because they are in our conference.