Copper does this already. It's not like ferromagnets.
https://www.youtube.com/watch?v=sENgdSF8ppA
Several physicists have spoken up and said this, and a few other tells distinguishes it from any conventional materials, which is why they made the video to begin with I'm sure.
That said I'm just parroting back the things I've picked up from this discussion.
If you move the magnet, the metal will also move since you're inducing a current and the fields from the eddy currents will react against the moving magnet.
That is super cool!
That said, I'm enough of a layman not to be able to connect this explanation to what I saw in the video.
Are you saying because it wasn't moving in "slow motion," we can rule out non-ferrous metals? Or are you saying the alternating movement/stillness of the magnet shows this?
All I see is the normal dampening and dragging effects that I show in my physics classroom.
I can tell it doesn't react to a magnet in ways that I'm familiar with (copper, iron, other magnets), but that's all the detail I can tell from the video.
Which is a weird thing to do when for superconductors you shouldn't need it, but for pyrolytic graphite levitation you would (to get an N-S pole).