[i]"by placing a clear vinyl tube over the pitch antenna. The sound was definitely gentler and slightly more muted with the sleeve installed."[/i]
There are good and quite simple reasons why the above sort of effect can occur.. On this occasion (if the account is absolutely true, and not distorted by time) Bob was wrong to say that sleeving could not make a difference - He was being an electronics engineer and not a physisist!
The capacitive coupling (E-Field sensing) principle works because the antenna acts as one plate of a capacitor, and the player acts as another (ground coupled) plate.. The capacitance is a function of area of plates, distance between plates, and DIELECTRIC/S BETWEEN THE PLATES.. There are also couplings between the antenna and other 'plates' - these include grounding on any adjacent object / circuit board, AND coupling to ACTIVE sections of any adjacent circuit board..
By placing a 'sleeve'(or any dielectric 'barrier' between antenna and player) of different dielectric to air, one can 'distort' the distribution of the E-Field - This can cause the percentage of coupling between antenna/player vs antenna/other circuits etc, to change - and this can, and often does, affect the waveform of the HF signal.
These sort of effect are most noticable if there is a discontinuity in the 'sleeve' covering the antenna.. An antenna uniformly coated with consistent thickness coating will (apart from wires connecting to the antenna, which is a whole different can of worms) have an equal distribution of field 'distortion' to both intentionally and unintentionally coupled 'plates'..
However, if one sticks some thick rubber hose-pipe on (say) the upper 90% of the pitch antenna,and leaves the lower 10% uncovered, the coupling from this lower section to internal circuit boards in the Theremin will 'increase' disproportionally to the coupling of the antenna to the player.
There are a huge number of possible 'strange' couplings which can occur in the E-Field, and most of them make little noticable difference.. But most Theremins are not designed with much attention paid to leakage of signals - In fact, often the desire to reduce 'background' capacitance (so as to optimise the playing field) means that even basic screening is reduced below a level which is normally acceptable for electronic equipment.