4K DSR will eliminate the jaggedness better, but the image wont be as sharp as native 4k. It should reduce the AA shimmer effect as well, it can't eliminate it because that is caused by a temporal issue not individual frames but its normally a lot less obvious.
I think part of this is just we have begun to enter the uncanny valley for graphics. That is games look at times like they could be nearly reality only there are all these artifacts in the images as they move that distracts us from it actually being real. More processing power needs to go towards fidelity of the image now as 1080p or even 4k are still too low a resolution and our eyes can see the individual pixels.
