The display on the N6 is amoled, so they always tend to be less bright than other comparible screen techs. But if your into the best video playback experience, Amoled takes the black level cake.
Also it allows other cool stuff like active display without draining battery (ask any moto X user its awesome)
Another thing, as AJ mentioned rural CCA/RRPP support as well.
The only real advantage I see in the note edge is the Carrier Aggregation support which is awesome for showing off your e-penis, but not much more. The curved display definitely fall into the gimmicky category, at least for now, and dont bother with it if your left handed.
One last thing...Pure Android.