I bought my 2001FP primarily for 2d use.
-Plays a video to see if he notices those issues-
(Edit)
Looking at this, I can get so-called "Checkerboard" pattern on a few videos.
However, the issue is from the compression used - not the monitor.
My 19" CRT, at a 2048xwhatever res shows said pattern far worse./
I must have a good revision or something. I can't emulate this in games - except for pre-recorded video, not in-game graphics, mind you. But then the screen just displays artifacts/compression issues.
I must have just gotten really lucky, I guess? Not even a single dead/stuck pixel on mine.