- Edited
To make sure we are all on the same page re polarization on LCDs. Simplified (maybe...hope so)...in an LCD panel the backlight shines through the rear polarizer which "polarizes" the light so is all oriented on one plane like slits in window shades. Let's say vertical shades for this case so all light comes out in vertical planes. The liquid crystals are in the middle...then the colored pixels. In front of those is an opposite polarizer that blocks all light from coming through since the slits are horizontal and no vertical light can get past. Even with the backlight on this appears black as no planes of light can pass. The liquid crystals are turned by current to twist the light from vertical to horizontal to selectively let light through to the right colored pixels to make the images/colors/letters whatever and then out horizontally through the front polarizer's slits. Without the polarization layers the screen would be all white as everything would be fully lit. Some good visuals and maybe better explanations here: https://www.androidauthority.com/amoled-vs-lcd-differences-572859/
I have noticed no difference re strain on a painful device between horizontally or vertically polarized IPS displays (LG for example are horizontally polarized in front thus letting only horizontal waves through, and if you look at them with polarized glasses on they appear black since the glasses block horizontal waves so as to block light bouncing off a road in horizontal sheets causing glare, most others are vertically polarized and thus visible with said glasses on but black if you turn your head 90deg )...and TN panels which are polarized on a 45/135 angle which as I understand it is due to how they are made and not an intentional choice. I tried all sorts of panels in a Thinkpad and all of them hurt. I even had some pinkish film that came on one panel that seemed to cancel out the polarization which I don't understand since it if were simply an opposite polarizing film then it would have rotated the black area under glasses back to vertical as I understand it, but it did nothing to help strain regardless.
I have noticed some LCD panel phones and tablets don't go fully black if you rotate the device around with polarized glasses on, just dim or change to some colorful moire so don't know what that's about and how some light is getting through the glasses at all at the opposite angles. On an intuitive note I ask myself why it would even matter if light coming from a display was polarized or not? The eyes can see light coming in from any angle and everything we see in life is because photons bounced off it and ended up in our eyes, and driving with polarized glasses isn't straining in general and they just eliminate glare, so why would polarized light from a display cause trouble?
*Nevermind about my OLED questions, missed your explanation and also found this https://technology.ihs.com/509943/why-all-amoled-is-applying-polarizer-suppliers-of-amoled-polarizer-and-compensation-film-for-polarizer-technology-trend-of-amoled-use-polarizer