The current maximum resolution of HD signals (which will be true for quite some time) is 1920 x 1080 pixels, so there isn't much reason to have a display with more pixels than that. OK, you could interpolate the image up to a higher resolution, but it won't look as good as a real higher resolution image and will come at a premium price for the display--unlikely that any manufacturer is going to go that route.
At any resonable viewing distance, nobody will notice the pixels, regardless of how "fat" they are up close (the pixels are square regardless, so they really aren't any fatter, they're just bigger), but at some point, larger screen sizes won't make much sense as you won't be able to sit far enough from them to not detect the pixels.
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