There is some lateral movement yes, but you don´t notice that while playing at all. Set up is a bit faster with these mounts since you don´t have to fasten a wing nut. The lateral movement is no issue. Regarding the floor tom there is not much to comment on. It sounds like a dream, no movement whatsoever during playing, set up is real fast.Can you comment as to the lateral movement of the mounted toms or the general wobble of the floor tom when moved by hand? I understand these issues won't manifest as in most playing situations, but I can see them making set up and positioning tedious at the minimum.
I did this video a few months back. It shows how stable they are under playing (although the video is a sound demo):