My suggestion is to start at the beginning and look for the root cause.
First of all, was the wrap installed by someone with sufficient experience with AVW equipment?
Besides air assist, some wraps have a pivot adjustment that changes the angle of attack, like an airplane climbing to altitude.
Rotational speed is crucial with soft-cloth brushes. Set too slow, less horsepower is applied to surface and less cleaning occurs. Set too fast, more horsepower is applied (greater friction) but the incident of damage tends to increase.
Lubricity is also crucial with soft-cloth brushes. If wraps aren’t properly lubricated, this tends to increase the incident of damage. Best practice is to apply a mild
soap solution to wraps while spinning.
A proven alternative to wraps equipped with soft-cloth is foam brushes. Foam is closed-cell and does not absorb water. Thus, foam can rotate much faster than cloth thereby applying more horsepower and accomplishing more work in the same amount of time.
Foam strips will usually break off before car parts will.
Moreover, foam brushes have been shown to brighten/shine the paint as it cleans.