I did some experimentation with a diy reflective lcd monitor setup that I made. I made it by taking my HP 22es monitor and stripping the front surface of the screen down to the bare glass of the LCD panel itself. I then spray painted the rear surface of the lcd panel with white paint to make it reflective. I disconnected the lcd backlight. I wear polarized sunglasses in place of the front polarizer layer that I removed. It's too dark to be useable normally but there were some interesting effects I've found in experimenting with it.
Primarily that the reflective properties of the panel now are similar to a comb filtering effect of directional speakers. Here is a polar plot picture of what I mean.

Here's a youtube video demonstrating the effect from shining a bright flashlight with a highly directional beam onto the screen. The moving light and dark bands of light are the alternating bright and dark reflectance of the screen depending on the viewing angle.
https://www.youtube.com/watch?v=IUCQZ0mF7-8
I wonder if this comb filtering effect causes the eyes to see slightly different images when looking at the screen and thus just using a single eye alleviates this issue of conflicting signals. I do feel that LCD screens seem easier to focus on clearly the farther back I am from them. I wonder if it's because the eyes are far enough away to not be subject to this comb filtering effect.
Also I wonder if the "static" and "sparkling" effect of the screen that many posters are experiencing, myself included is something of a combination of the comb filtering effect, temporal dithering of the LCD panel, and the effects of the various backlight film layers described in this thread https://ledstrain.org/d/1458-ips-screen-parts-description-and-dangerous-parts-hypothesis-lightvergence that create a kind of unfixable flickering/dithering.
Even a panel with no temporal dithering might still have this glittery effect as the combination of the backlight film layers and lcd panel will create that sort of glittery graininess that will change depending on the viewing angle, and as your eyes and head are constantly moving, the glittery graininess of the screen will be constantly changing, essentially mimicking temporal dithering.