Get ready for some serious eye strain...
Eye strain from reading backlit screens is a red herring.
There is no difference between reflective light
and transmissive light. Light is light.
The big issue is the brightness difference and contrast
A bright background in a dark area can cause eyestrain.
But a backlit screen where the backlight brightness is matched
to the ambient light won't.
These variables can be controlled, even though one may not always
take the time to do so.
At work I stare at a backlit screen all day. Day after day.
No eyestrain. My office is fairly bright and my screen brightness
and contrast is adjusted to match.