By virtue of how HAM works, its possible too see some corruption to the right hand side of anything moving on the image (an effect called fringing). Good old DPaint in ham mode was a classic for this, especially the cross hairs and stuff.
However, this shouldn't affect your mouse pointer (AFAIK) since it is a hardware sprite and not rendered "into" the image, just drawn by the amiga's chipset "on the fly"...