Reverse Tire Direction? (Rotating Tires)

Does anyone reverse their tire rotation when rotating tires? These are mud grips so towards the end of the 6,000 miles when it's time to rotate, the lugs start to cup somewhat. The front end alignment is good, front end is all tight, it's just a mud grip thing. I always do the rotation by moving the front tires straight to the back and the back to the front. I heard some people say never do the cross pattern rotation which will change the direction of travel and might mess up the belts inside the tire. These are Firestone Destination M/T LT/285's. Thanks

I work for les schwab rotate those in cross pattern meaning fronts to rear crossing them lf to rr rf to lr and repeat the process for the rears going to front.