One interesting thing I noticed was with the two Notes side by side on the previous page how one seems to be more blobbed, where the other is more defined, but has worse banding. If you look at the one that has more definition the display itself looks brighter vs. the more blobbed one is dimmer. I was able to go into a dark room and get both results. By adjusting brightness a lot higher I was able to get pretty much the right image, then by lower brightness or going back to auto I was seeing the left image. So in my mind part of the reason people are seeing such different results also depends on the screen brightness. Similar to the crosshatch/linen pattern or whatever you want to call it. When lower brightness that background becomes more apparent, but at high brightness it seems to disappear.
Samsung Galaxy Note II - N7100 - Titanium
Samsung Galaxy S III - i9300 - White
Incredible -> Fascinate -> Thunderbolt -> HD7 -> Galaxy Note -> Samsung Focus -> Galaxy Nexus -> Galaxy S III(AT&T)