The screen is okay.
Static images are clear and sharp. Yes, you can see a screen door effect when flipping through the app drawer and when scrolling through white text on black backgrounds. If you look closely when scrolling black text on a white background, you can see a bit of blurring, as if the text were in boldface rather than normal weight.
3D games like Dead Space are rendered beautifully. If you look very closely at 2D games like Angry Birds, you can see a tiny bit of ghosting around your bird in flight.
I don't see any noticeable tint.
Videos look fine. Looking at the D4 side-by-side with the D2, playing the same video, it's tough to see any difference in clarity. Perhaps the advantage of the higher resolution of the D4's screen balances out the advantage of RGB stripe on the D2's screen. The D2's screen might be a tiny bit sharper, but any difference is small.
If you want to see the worst-case scenario for an RGBW pentile screen, look at the settings menu for a third-party app that has a lot of white-on-black text that you can scroll through. The text is clear when stationary, but noticeably blurry when scrolled.
It's not the world's best screen -- but it is the world's best keyboard and one of the world's fastest phones. I'm willing to make that compromise.