The reason the shocks might become important is something called "road force variation". Which means the "spring" in the tire varies as it rolls against the pavement. Unlike the older bias ply designs, radials have a "flat spot" as they roll on the pavement. High quality tires have always taken less weight, generally, than not quite so high quality brands, by observation. A tire can be in complete balance on the machine but still have some vibration from the "hard spots" (what we used to term them) in the tire's carcass, which changes "the spring" resonant freequency of the tire itself.
CBODY67
CBODY67