Originally Posted by DFWSBR
Rotate them if you want to. Unless you make more right turns than left or vice versa, it won't matter much. Side to side rotation is an option, but why bother?
Different rotational direction makes a difference. When you rotate side-to-side, the moved tire will rotate in a different dirrection than is did prior to the rotation.
If you have tire cupping happening on the front tires, then after rotation, they will rotate differently and so the cupping will be reversed and even out.