Don't know why #1 was skipped, but I thought I'd keep the OP's format.
2. Burn In: I had this issue with my Galaxy Nexus right from the get go. So far, I haven't noticed any issues with my Moto X. I don't think it will be a problem unless, as some have mentioned, you leave the screen on the same image for long period of time. I, admittedly, did do this with my Gnex (had it set to screen on when plugged in, bad idea in hindsight).
3. Future Proof: I don't think that there will be any apps that this phone cannot handle, save for maybe some intense games in a year. Even then, the GPU is pretty darn good.
4. Display: The Moto X has a great screen. Maybe not the most accurate colors or the highest resolution, but I haven't been left wanting. I had an HTC one for just over a week (returned it for various reasons), and have also used an iPhone 5C for a period, and I'm not at all disappointed by the Moto X. As others have said, at 4.7 inches, the difference between 720P and 1080P is negligible.
5. My Galaxy Nexus (admittedly on Verizon, where updates go to die) stopped getting updates at 4.2.2. So I think, especially with a near stock version of Android, the Moto X will do as well as Nexus devices in terms of updates. Aparently, Google has only committed to updating Nexus devices for
18 months after release.