My JetBook Lite has an LCD (not backlit) screen and I comfortably read for hours on end -- when I have that much time to read. I have encountered some "jitter" with smaller fonts in direct sunlight, but I can't really call that a serious inconvenience. It was July, in Florida -- the sun's not that strong in NJ.
I used an LED reading light (a lot!) last year when we lost power for a week following the freak Halloween blizzard -- still no problems.
The JBL is probably not for everybody, but fear of eyestrain shouldn't hold anyone back.