There are no up-down movements in full size cars and trucks, some kids toys maybe. Everything bigger moves an arm along a radius, which is "close" to up and down but not up and down.

Tire friction usually works on a vector-like system so being able to move more up-down rather than along a radius means maybe you'd get a couple percent more friction forward and back if not moving a little side to side when moving up and down. Which sounds useless, but 5% more usable tire friction means an improvement in braking and cornering performance which either makes the car safer or could theoretically make it cheaper/lighter to compensate.