The Neo is focused on 4k gaming, make no mistake.

[HoloDust]

Again (I wonder if I'll ever get tired of repeating this), there's general misconception that 4x pixels needs 4x GPU power...RL benchmarks put this at around 3x or less.

Here are 2 cards with 5.6 TFLOPS from nVidia and AMD and how they scale with resolution:

http://www.anandtech.com/bench/product/1715
http://www.anandtech.com/bench/product/1721

and here are 2 with around 8.5TFLOPS (you can choose any card really):

http://www.anandtech.com/bench/product/1714
http://www.anandtech.com/bench/product/1720

That said, NEO is rumored to be to be 4.19TFLOPs, which is ~2.3x PS4, so not quite there, but now that MS revealed some of Scorpio's specs, maybe Sony will bump that up a bit.