We run the Michelin 22.5 XRV tires, we also run a tire pressure monitor system. After many thousands of miles we have determined the 100 PSI cold is the right pressure at a load of 27,300# . There is no difference between left and right tires on any axel. My left and right side are nearly equal, less than 10 pounds difference front and rear.
We have over 40,000 miles on these tires, the pressure is correct, and they still wander, but the ride great.
My advise???? get used to it, it isn't going away.
OBTW, at 40k, the tread depth hasn't changed.