Follow up after taking my wobbling GGT to the SC appointment to have the suspension judder checked. Very disappointing experience, unfortunately. They said there was nothing wrong with the air suspension (no air loss) and that the vehicle was "up to spec", even when wobbling.
I pressed for something more specific I or they can do, and their answers were "give it 4k miles to break in" and "check again when it's warmer". Translation: just live with it, even though you paid $125k for the promise of this "amazing driving experience".
Assessing my options for any next steps... I have no intentions of keeping the car in this condition.