That's a good question... I don't know if the warranty begins today, the day I received the replacement, or the day that I received my first MPB c2d. I believe that my warranty begins today, though.
I was on the phone with various Apple departments for about an hour and a half, and I noticed a few interesting things. First of all, the first technical specialist that I spoke to asked me if my screen looked "sparkley" when I had only told her that it seemed grainy and fuzzy. She also asked if it looked like there was "dust" on the screen. These are all things that I had read here before calling...
She asked me if I had an external monitor that I could use to check the problem with, and I said that I don't, so she told me that I would have to bring it into a store, and that I would get a case number.
I asked to speak with another technical specialist, who was trying to convince me to do the same. He said that they would get me a replacement immediately if they found whatever it was they were looking for... he wouldn't say. I said that there are over 15 pages written about the issue on these forums, and that it is obviously a problem, and that I shouldn't have to jump through hoops to be a satisfied customer. He told me that they didn't really know about this problem, that those people hadn't complained, because there hadn't been enough complaints to "catch" the problem (so how did the previous rep know all about my problem, before I even went into detail, hmmmm?!?!) He said, though, that the engineers would want my laptop if it was diagnosed with whatever problem they were looking for...
I asked what would happen if they didn't find what they were looking for, and he said that it would have to be sent for repairs. I told him that it would be ridiculous for a brand new laptop to be sent for repairs, so it ended up being labeled DOA.
End of story.
The point: Yes, I agree. I think that we are all SOL. No grainy display? You will most likely experience some other problem with you brand-new MBP...

Is it true that iMacs don't experience many problems?