I was going to go all scientific on this and do controlled discharges and controlled drops on different brands etc, but then thought I'd try it quickly to see if it's like the video. I figured there wouldn't be much in it, if anything, but it turns out it does work and the difference is as obvious as shown in the video.
My next step after that was to try and do some vibrational response analysis of the batteries, but I don't have the proper gear for that any more.