One thing about this entire resolution thing is the elephant in the room that NO ONE seems to want to address, despite just weeks/months ago EVERYONE was talking about it. There IS a 50% resolution difference the two platforms, so....
Either the developers at DICE are struggled with XBO's tools and/or eSRAM.
or
PS4 is more powerful.
Because months ago, the argument was eSRAM giving developers trouble is a load of FUD since they've been using the same memory setup for 8 years now (technically not 1:1 the same at all but I digress), and if anything XBO would have an advantage because it has more bandwidth and low latency eSRAM/DDR3.
Alternatively, PS4 can't even use all those CUs for rendering so in reality it's 12CU vs 14CU and MS states that the overclock is better than adding 2 extra CUs.
Well I can't speak for displays (I don't use sharpen personally), but apply sharpening after scaling can produce the a very similar end effect (you could argue it's better that way). Another example, scaled from 1600x900 to 2560x1600, and the other is scaled the same then sharpened. I should add in the natively rendered at 2560x1600 image, I might edit that in.