i've grown to like the screen. sure it looks rough in the menus, but in emulators (gba especially due to the weird scaling it needs to fit 320x240) it is a vast improvement over screens with aligned pixels.
To be honest, I also like the pixel arrangement. But the apparent tendency for stuck pixels is pretty annoying. I tried the GBA stuck pixel fixer and any other techniques I could find, but mine is still there.
Is your pixel a dead pixel or a stuck pixel? A dead pixel will appear black, while a stuck pixel will appear white or a different colour. Dead pixels are much less likely to be fixable.
Here is the GBA program if you're interested. http://www.pineight.com/gba/stuck_pixels.zip
I ran mine overnight with a shirt over it to make the screen warm up, but it didn't fix. Maybe you will have better luck.
Remeber to turn off the sound because it makes weird noises. I guess it's for similar reasons that going into sleep mode on a GBA game makes noise.