0.5 uniform distribution and then transformed to sky coordinates including the aspect correction. 0.5 uniform random blur exactly removes these artificial components.
Noticable substructure is visible.
0.2 is applied here, lower right panel and is not enough to fully remove the pattern. 0.5 pixel randomization is applied. The pattern is not quite so pronounced before the randomization. The result is that if the aspect correction creates some pixel substructure in one pixel it will be repeated in others and produce a noticable pattern. 0.5 pixels removes these variations.