I have a lift (BP-51s, SPC UCAs, 2722 rear springs) and Nitto Ridge Graplers on stock 18" rims. Slee did the work and it drove perfectly. I then wanted the same RG tire on the spare so I bought it at Discount Tire. While I was there, I asked them to rotate the tires (5 tire rotation). They cross the backs to the opposite fronts, and take the fronts and drop them directly back to rears. Immediately after that, the truck pulled to the right. I was leaving on a 2000+ mile road trip the very next day. Driving that sucked. It wears you out continually having to pull to the left to correct the drift. When we hit our destination, my BIL and I rotated tires from the right side to left side, while keeping fronts on front and rears on rear. The hope was that this would fix the drift to the right. It did not. We checked tread depth and they were all very close (I don't remember the exact measurement). Another 1500+ miles of driving and it seemed to get a little better.
Several months later, it was time for an oil change. I thought I'd also rotate the tires, but this time I followed the owner's manual and kept the tires on their respective sides. Left rear becomes left front, LF becomes LR. Spare becomes RR, RR becomes RF, and RF becomes spare. I drove the truck after, and it pulled more to the right again.
I have no idea why it _always_ pulls right. It makes no sense that moving the tires from right to left still makes the truck pull to the right. It also makes no sense why it would get slightly better after hundreds/thousand miles. At this point, I'm waiting for when I need 4 new tires and I'll see if it all magically fixes itself.