Noise reduction in post doesn't give you extra dynamic range JCS or make colour any better, you still need to adjust the curve to put contrast back into the image, thus trading the dynamic range of the flat LOG profile for acceptable colour and contrast. To some extent this addresses the core issue that is missing in this discussion. The deep shadows in the 1DC images are featureless, lacks texture and details. These are all tell-tale signs of noise reduction. Most if not all cameras do some form of noise reduction when recording internally even if noise reduction is set to zero. I will be extremely surprised if the 1DC is an exception. On the other hand the Shogun records footage from the A7s without any internal noise reduction which means that noise reduction have to be done in pp for a proper comparison. Alternatively direct recording from the 1DC sensor is necessary if you want to omit any pp in the comparison.
I think your examples clearly shows the Sony advantage. In my opinion there are even better areas for comparison like the strap lug and the front control dial on the Nikon. If you can show this advantage on a small web jpeg, the real world advantages on the original 4k files with proper pp could be significant. Maybe Andrew should make the original clips available for download to demonstrate this. On the other hand I suspect that this discussion is not technical anymore.