Very interesting, thanks.
There are a few take aways from this video.
First, the person who did the video is clever but has not studied dynamic systems. Above the critical speed, when deflections due to unbalance are the greatest, the part of the tire that has the maximum deflection (maximum radius) is opposite the heaviest side, so the beads will go to the light side.
Second, you can see how the sidewalls on this radial tire deflect each time that side of the tire is on the pavement.
Third, the balancing machine has a rigid bearing that does not allow the tire to deflect due to the unbalance and so the beads will not move to the light side of the tire. The beads depend on having a suspension system that allows the tire to deflect due to unbalance.