That's actually not how it works at all. The hop is caused by how effectively the power is being transferred to the ground, and that is almost entirely controlled by the geometry. With an anti-squat higher then 100%, that means that as power is applied the suspension lifts the rear of the rig. It then tends to lift it beyond a point of equilibrium, and then it comes back down and starts all over again. This happens even on flat ground, but it is exacerbated on a climb. The higher the anti-squat, the worse the bounce. As we have seen from the calculators earlier in the thread, the anti-squat % is higher on the bracket relocation relative to the mid-arm. That is why the bracket approach bounces more. The anti-squat on the mid-arm is better, but still likely above 100%. That is why JJ's does better, but still bounces just a bit.
To your point on traction, is does change, but it is a consequence of the bounce, not the cause.
But...l've been wrong before...