After seeing how the translucent Apple logo on some MacBooks let the sun in through the back of the screen, I always wondered why no one made a translucent screen backing so you could put the back of the laptop against the sun and get more light in
This means that the backlight has to be incredibly bright relative ambient light. So even if you positioned it to harness the power of the sun as a backlight, it'd be a lot dimmer than the ambient sunlight.
The reflective LCD in the OP is nice because the sun is behind you instead of shining in your face.
TL;DR, you'd end up having to squint your eyes anyway since the display would be much dimmer than the sun you're staring at, unless you rigged up some cardboard so you didn't have to stare into the sun.