Don´t dispair, Scottsdale...
... of course people would like to test, at least me here, speaking for myself.
Unfortunately, I do not have my 1st Gen Air anymore to change the display, but I can report that the Rev B 1,86 SSD itself apparently does not have the power to resolve the issue by long term full brightness. Tried it, word doc open for a long time (more then 10h), changing pics as well on another day, lines happily lingering over my screen nonetheless. So if the assumption with the power holds true, it probably needs a RevA to power it.
Do "your" lines stay in place when changing the viewing angle? Mine don´t, they rather move vertically, leading me to the assumption that at least I might face some weird Moire effect.
I went to the Apple store today (Zürich), the person there agreed with me that the lines are there and well visible (he didn´t consider it as being very distracting though), on all three MBA RevB I brought in today as well as on the two Rev Cs they had on display. Mine three here (two of them belonging to colleagues, I don´t want to brag here) all 9C9A with lines, those in the store 9C90 with lines. I now have an appointment with the Genius Bar on Wednesday, I´m looking forward to the meeting and keep you informed. Doubt that anything will change though.
Scottsdale, if anything comes to your mind that I could test, I´ll gladly do so.
I am happy to hear that the lines can disappear, now we just need to find out how. Did you do any screwing or just playing around with settings and long term usage?
Edit: Uh, tried something else: Reduced background lighting does not decrease the lines, can see them still when turned down to four dots, then it get to dark to see much.