Here's what I mean about display quality. You can see just how bad the AMOLED screens are, especially the Pentile matrix of the GSIII. It has a RG/BG pixel orientation which means it's difficult for the phone to produce a true white color. This is what gives it the awful green tint. The GSII actually had a better screen than the GSIII since it used an RGB matrix.
Looking at the HTC DNA, it's no contest. You can see how tight the resolution is with a true 1080p display, and white colors are truly white. HTC has been king of displays for a long time now.