1). Back light uniformity has been an issue with every iPad. Has nothing to do with the thinness. My new Air 2 screen is perfect. It is even more uniform than my Air 1.
2). Pressure distortion doesn't happen on every iPad Air 2. I know because I have one. I can force it to happen if I press really hard on the back on the spot shown in the video. But it's an excessive amount of pressure that I would never use in day-to-day life.
3). Sound vibration is resonance. Probably because of too much bass and might be because of the thiness. I'm not a sound expert nor are the majority (if any) of the posters. On this issue too I think some vibrate more tan others. I tried it on my Air 1 and Air 2 side by side and there wasn't much difference. I can certainly see where it might be a cause of discomfort while using it for long periods with a game where you have to hold the device. But playing music? how many people hold their device for long periods playing music - not many people. For most, the use of external speakers or headphones will be the preferred usage.
4). Battery life vs thiness. Since I travel a lot with mine I prefer lighter/thinner. I carry a battery for really long haul flights where I don't think I'll be near power for more than 14 hours. Face it, even on 12 hour flights you do not use your device the whole time. Other times, well most people plug their iPad in overnight so I don't see the issue. If this were a phone that needed power to get through a long day then the point is well made. But for a tablet that certainly does give 10-11 hours of constant use.
I'm no fanboy. And in past years I've stayed out of all these debates. But this year I happen to think the gripes are a bit overblown. Screen issues are most important. But anyone getting a bad one can join the yearly lottery and get a good one. The others are a matter of use and preferences.