The scratches may not be on the glass itself. We touched on this last month. ToD posted a picture:
http://www.neogaf.com/forum/showpost.php?p=201095194&postcount=14654
The scratches are probably on the anti-glare coating. On the Sony monitor's, it's a plasticky sheet that's difficult to pry off. On a couple of my flat JVCs, it looks to be a layer that peels away when scratched with force. I didn't try this myself but it's evident from the damage on one of them... it came with a 16:9 bezel that must have been pressing against and wearing on the screen for years.
Hooooly crap
How do I know? I don't want to take a knife to it or make it worse if mine doesn't have it.