Seems like they blew their training budget on the machine! The dynamics to correct are pretty simple. An imbalance can be modeled as a net mass located between the inner and outer rim of the wheel and at a certain radial distance from the center, and at a certain rotation from an arbitrary reference radius. This will require the weights to be split between inner and outer rim in some ratio - but not zero. I.e. the imbalance will never happen to find itself on the outer circumference of the tire.

Steve