This dampening device seems to only be effective for the side-loading type washers, where forces of an unbalanced load are directed vertically for the most part. This type of device would seem to have absolutely no effect for top-loaders, where forces are horizontal. As for "walking", that seems to be a bigger problem for the top loaders where the drum rattles back and forth sideways and causes the machine to move horizontally. This was a problem for some earlier top-load Samsung (Samsuck!) machines that would shake themselves apart and brake the struts that hold the drum-holder in place. Since then, stronger joints/struts and a wobble-detection mechanism cause the machine to stop, do a few back and forth jiggles to try and rebalance the load, and also gently turn up the speed to see if the balance goes off. If it goes past some threshold it will shut down the machine to allow for user intervention at least (a safety feature).
As far as side-loaders go, I've never seen it be such a problem as usually at the beginning of the spinning the speed is slower and gravity will tend to mix things up a bit more until things even out. I suspect that an unbalance in side-loaders though can still occur sometimes that is over the safe limits... but I would like to see when and how that happens, and what the dampener really does. I'm not talking about throwing a brick into the machine.... I'd like to see real-world scenarios, like putting ONE ITEM in there (like a pillow) that will soak up a huge amount of water and will never actually be able to be balanced. Unfortunately the videos shown do not give us enough information about that.
Neat device though. I've always thought about why there couldn't be 6 or 8 weights distributed around the drum on screw-gears that could be made to be closer or further from the central axis of spin and be adjusted "on the fly" by a computer to try and balance loads that way, with sensors that feedback vibration and an algorithm which adjusts the weights accordingly to minimize it.