I'm pretty sure it's a problem with all the 2005fpw monitors, but most people don't notice it either because they don't know what it is or they haven't used a LCD or any monitor without the screen door effect - so they're used to it. For me, it's very irritating and it's enough of an issue to...
I would suggest doing an RMA just once - and if the replacement has the same issues just return it. I have friends that exchanged the 2005fpw 5 times and still didn't get a perfect one. It's really luck of the draw unfortunately.
Yes, the 2005FPW does indeed have the screen door effect - I'm thinking of returning mine because my previous LCD didn't have this problem and it bothers me quite a bit.