Hey all, long post ahead.
I just purchased a Z70VA and I had the red ghosting problem. It wasn't as severe as the one seen in the video, but it was definitely there. The way I tested it was by running the Windows XP screen saver. If you want to give it a go, run the Windows XP screen saver, or try the Marquee screen saver (set the type to a large size, Impact font, and red as the colour). Ideally, it should be tested in a room with no lighting.
I went back to the reseller, and after they saw it (with some effort to find a dark enough area), they swapped the machine for me. Unfortunately, testing it with the second machine revealed the same problem, except this time the problem appeared on the top half of the screen. They then showed me a third machine, and this one showed the problem on the upper-right corner of the screen. At this point, I was pretty frustrated, as I'm sure the reseller was too. The reseller suggested that the red ghosting only happened when the screen saver was playing, since I wasn't able to reproduce it in Photoshop. I figured hey, maybe he's right and I'll hardly notice it. I gave up, and since the guts of my computer were now in the second laptop, I took that one home.
When I got home I did a little more testing, and unfortunately, I was able to reproduce it in Photoshop. It was very obvious, and it was in a room that wasn't very dark, no less. If you want to give it a shot, create a large black canvas that takes up the whole screen. On a new layer, create a small red square. Turn that layer on and off, trying it on different areas of your screen. Once again, ideally this would be done in a dark room. Strangely enough, if you draw a large enough object and turn off the layer, the red ghosting won't happen (which was why I couldn't get it to work at the store).
I have a feeling that a good number, if not all of these laptops have this red ghosting problem (some more severe than others). The reason I say this is because the reseller (a very reputable one) said they've never had this problem before, as none of their customers have complained about it. Yet here I was, with three laptops in a row showing the problem. Mind you, I'm with Jacob13 in that I deal primarily with graphics (hence the testing in Photoshop), so I'm wondering if others just haven't noticed that their laptops do in fact have the problem.
Anyone have any advice? I'm planning on contacting the reseller again soon, but I really don't know what they can do. Right now I'm really disappointed since I bought an Asus because of its supposedly excellent build quality. If I'm to settle for a defective screen, I may as well have bought a cheaper brand.