Cabinet wobble
Sheesh, that's quite a wobble. If you were to take the cabinet off and bypass the lidswitch connector plug with a jumper wire, you could run it without the cabinet to see if it's wobbling the whole base or not. Sometimes I've found the cabinet won't seat right on the frame if the edges of the cabinet are bent, and it will act something like that. Hammering it out has usually solved the problem for me, but that could also not be applicable to your situation.
The tub actually appears to be askew in the video when it's running, which seems to be causing an exacerbated tub wobble, so it might be a skate plate moved out of place? That's a little bit involved to try and reset but it's not terribly difficult. You'd need somebody else strong enough to lift the tub up while you rotate the plate into proper position. Shouldn't need to replace it though, I had to on mine only because it was clearly ran for years without one side having a pad under it, so it wore through the paint and caused it to run a little rough even after having replaced the pad.