My Ovano does this. Had one main hinge replaced, which resolved a clicking noise, but the top hinges still rattle.
Regarding the bounce, I have toyed with fitting magnets, but a run of felt tape the full length of the top verticals has almost resolved that noise, with a few extra pieces in key places to make it gully level.
It’s furniture in a moving van, so to be expected I guess, albeit annoying.