If you get movement of the bars relative to the triple clamp, I betcha the rubbers are worn or disintegrating because of age. My 25 year old VT1100 bars do not move independent of the triple clamps. If the rubber mounts are in good condition, normal riding will not have a "sloppy" feel - they are supposed to be stiff and dampen vibration, not cause "slop".
Black Beast = '71 CB750
Lazarus = '86 VT1100C rescued from a salvage yard.