They seem to be making a really big deal about the fact that at 1080p it won't offer any improvements, except maybe HDR. Where MS are saying don't buy for a 1080p screen, they are also saying they'll bump the resolution and maybe framerate compared to the Xbox One... which is a hell of a mixed message "This console is for 4k only... but it's also better for 1080p". They even mentioned downsampling to 1080p, so running a game at the max res they can hit 60fps for and downsampling to 1080p is a genuinely great thing for 1080p.
I mean if lets say Deus ex ran 810p/30fps on the Xbox One, but on Scorpio they can run 1440p/60fps and downsample to 1080p then I have no idea why they'd say don't get it for 1080p, that would be a monumental improvement.
Sony seem to be saying however that for 1080p they'll just be turning off half the GPU, running lower clocks and you won't even tell a difference to the PS4, besides lower power usage and quieter. Seems completely absurd to me.
It is worth noting what a performance improvement Scorpio really is, 6Tflop vs their current 1.2Tflop, 5 times faster before architectural efficiency comes into play is huge, which is why frankly 60fps with 1440p or even higher downsampled should be really easy for it. I have no idea how the strategy with PS4 pro works, this would be way better at 1080p with a HD tv, but we're just not going to let you use that capability, 4k or bust seems insane to me.
Another thing to think about is Vega and the performance/watt claims. Now Nvidia went for a tile based rendering approach with Maxwell, AMD at the time due to Read were doing a bit of belt tightening so didn't update their architecture. It offered a huge efficiency increase for Nvidia where for the first time in a long time they had mm^2 performance beating AMD. Before that a 438mm^2 290x was matching and now easily beating a 600mm^2 780ti/Titan based on Kepler, with Maxwell a 400mm^2 core was matching an AMD 400mm^2 core and a Nvidia 600mm^2 core matching or beating a AMD 600mm^2 core.
If AMD is bringing tile based rendering to Vega, which would explain the massive performance/watt gains they say they are getting(compare to Hawaii), then 6TF Vega in Scorpio could be much much further than 50% ahead of the PS4 pro using Polaris. If the architecture becomes 30-40% more efficient due to different rendering, then in real terms that 6TF Vega could be equal to a 8-8.5TF Polaris.