Except if you read the article you'd realise this is not active damping. They're optimising the movements using a physical model so that they don't need active damping at all.
If you change the physical behavior of the robot, such as by heating or cooling its arm rods, or by changing the mass of its end-weights, the pre-computed damping movements will be less accurate, and the wobble may return.
Active damping would require sensors and a more complicated microcontroller on the robot, rather than just looped playback from a ROM. Cheaper smooth-moving robots mean more animatronic elements can be put in your feature within a given budget.