It looks like the BEST CASE is about 15% (Batman AK) on average, but I found other evidence that showed over 25% during heavy PhysX scenarios. It's still hard to justify keeping the card in the case IMO.
In THEORY you could reduce performance but only with a weaker dedicated PhysX card.
You're basically switching from the GTX1080 to the GTX980 to do the PhysX, physics processing. If you get a huge explosion or some big physics even that managed to use 20% of the GTX1080, but do that on the GTX980 instead then you FREE UP that 20% of the GTX1080 to handle the rest of the game.
So 100/80 = 1.25, means in theory you might see up to 25% or so gains during heavy events.
(I'd still rather TWEAK the game settings slightly to maintain a solid 60FPS or whatever my goal was then stick in the GTX980, but you can at least EXPERIMENT for fun)