From that link-
The only totally true statement is that at rest, the beads settle to the bottom.
No tire is round - they distort at the bottom.
This is overlooked.
So is lateral balance, which is why real balancers with weights don't just put one weight on the middle.
And the term centripital force is used, when centrifugal is proper.
There is no doubt that some benefit occurs in some situations, but why not balance tires properly if you can?