Unless they can grasp the concept of a NON DISTORTION LENS then not very well. The whole reason I moved away from my P2's with Zenmuse gimbaled GoPros was the horizon curvature and distortion. I mod'd one of my GoPros with a special lens, but still not as good as the P3P camera... and now with the P4... well...
GoPro has been very slow on this and IMO has probably missed the boat, They will be very far behind. It will take a lot to come out and surprise people to top the features and quality that DJI and Yuneec already have.
Also, I'm still pissed that they intentionally changed the rear port of the GoPro's so the original Zenmuse rear port plug in gimbals would not work and DJI had to go to that flimsy side port plug in cable. They could have partnered with DJI and we would all have a better product today, but they want a bigger piece of the pie. I for one will have to see a BIG advancement over the other contenders to even consider their product...