The CX-7 Manual (8-28) recommends tire rotation in a semi- X pattern. This brings rear tires to front on the same side, and fronts to rear on opposite sides than their last positions. When done in this fashion, the direction of rotation of the tires that were on the rear is reversed.
I have NEVER reversed the direction of rotation of a radial tire during the course of rotating the tires.
Am I missing something, or is this the thing to do?