- Edited
My HTC One M8 was the best phone I used since the Galaxy S2, and was 1000x better than my Xperia ZL (which I suspect used PWM). It still wasn't good enough to use for more than 30+ seconds though. I bought an iPhone 6S and although it causes eyestrain and headaches more quickly, I can get far more done in less time. Since I am not doing any colour-sensitive work and don't care at all about how it looks, I inverted the colours. Otherwise I find the iOS7+ theme far too harsh on the eyes, which amplifies whatever hardware or driver problem there is.
Using these settings to reduce eyestrain:
Min brightness
Zoomed
Inverted colours (must change wallpaper to pure white so it becomes black)
Night Shift (scheduled to always on) (doesn't work while colours are inverted)
Grayscale (at night)
Reduce motion
Reduce transparency
Reduce white point
Increase font size
Bold text
Using voice commands as much as possible
Of course none of these reduces the underlying problem. they just delay the onset and allow me to get in and out before a problem starts.
Still the screen seems offensive. I think it is the lensing effect (to increase readability in the daylight) as described on the Apple support thread.