If you have to double pull, don't flood in between pulls. I'm assuming you know this. Even if you raise the screen, flood, and pull again, there is some potential for paper movement, even if it's slight - and it can cause blurring. The problem with double-pulling seems to be adding too much wetness from the ink to the paper at one time. Then, when it dries, that area has the potential to warp more than it may have - depending on the coverage area.
Just curious - why do you double-coat your screens? I have never done that. And I have never had a problem.