In the case of the PR sub, you have the active driver, and the passive radiator, and the plate amp all mounted on the sides of the box. I'd like a driver facing forward for aesthetic reasons primarily, but that would mean if the plate amp is on the back, then the other driver would be on the side. Again, aesthetically, not desirable. But if I can have one underneath, then I achieve my goals aesthetically.
So, I will down fire the active woofer, and have the PR facing forward. You can't do it with the PR radiator facing downward, because of the effect of gravity on the motorless driver.
The other benefit will be that because the drivers are so close to the floor, and there are no grills to protect them, they could accidentally get damaged. The downward facing one is now out of harm's way. The PR radiator face is much more durable than the paper of the active woofer.
Sonically, I don't really think there is any benefit to speak of. Not that I'm aware of. I'm chatting with some people who have experimented quite a bit with sub woofers, and I want to make sure I don't do anything that would have an adverse effect on the sound.
Those are the reasons why I've chosen to downfire it.
Cheers