I have owned four Grados all in all from the Black, Blue, Plat., now a VPI Sonata. In a nutshell, yes the wood bodies wobble as you put it, the only time I have noticed this was with the wood bodied carts., namely the current Sonata. I have it attached to a Rega 250 arm. The only time I observed said phonomena was while playing the HIFI test record, you know the torture tracks, for cartridge compliance. Well the whole body started vibrating laterally, but the stylus never moved. John Grado explained that the Reference/Statement cart.s have just one resonance point above the coils in the "body" of the cart. This is what I saw, as far as what is happening with your playback I do not know. I hope your experience with the Prestige Grado does not effect your decision for a later upgrade, possbily to the Platinum and beyond.