It was always a pain to cross rotate tires on cars that had directional rims.In the distant past before radial tires became the norm, fires were rotated from side to side and front to rear. They'd eventually be placed on all positions. That changed when radials were used because they couldn't tolerate being moved from side to side where the direction changed after turning one direction for a while. Today it doesn't matter because they indeed can change direction without harm. But I still keep them on the same side because that's what I used to doing
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