Greg,
These results do look quite impressive - Particularly for a theremin which has no equalizing inductance.
I have some reservations due to the problems you are expieriencing [human-ground] as the capacitive relationships between ground / antenna are critical for accurate measurement of linearity - so at this stage I cannot be sure if these results are due to the LEV antenna or due to some other effects..
But they do look quite good.
What would be really interesting would be a comparison between the best LEV antenna result / settings, and if you then swap the LEV antenna for a tube giving the same capacitive area (as in, replace the LEV antenna with a tube which does not require re-tuning of the theremin.. perhaps a plastic tube with some aluminium tape round it, which you can peel to get the right capacitance)
But whatever - All real interesting..
Fred.
ps - I love your "lab"! - It fills me with envy ;-) .. I had about 2 sq metres in which to build and test my theremins - with final work being timed to co-incide with when my wife was out of the house, so I could use the kitchen.. and be damn sure everything was tidy and clean (as in, she didnt know I had used the kitchen) by the time she got home...