Flipping the polarity of one signal is what removes the common information from the signal your sending to the amp. So if you didn't flip the polarity then yes, you'd have a mono signal. Which is what you don't want ideally so you flip the polarity and have L-R instead.
Not that maybe some folks want mono rear fill I suppose. That's just not my understanding of what works best and wouldn't be "differential" rear fill as far as I know.