"My main question is why do theremin designers like to use the frequency of operation they choose? " - Christopher
"like" has little to do with things IMO, its physics which determines suitable frequencies given the constraints - these being both physical and financial..
The "physical" constraints and "financial" constraints are closely related - yes, it would probably be possible to create a theremin running at 922MHz (although I think you meant 922kHz ;-) but there would be real problems - a short length of PCB track acts as a big inductive attenuator at this frequency, your antenna would be the size of a pencil, and the cost of mixer etc could be high... Anything above about 10MHz is silly..
The practical and financial factors probably limit practical frequency range to between 120kHz and about 3MHz - below 120kHz one starts to have severe problems filtering away sum components adequately so that they dont appear on the audio.. Above about 1MHz one starts to get into "real RF" territory .. As a general rule, the higher the frequency, the more expensive components to handle the operations become - the higher the frequency, the more care needs to be exerted over layout - capacitances and inductances of tracks become more significant, and the difficulty of manufacture and testing is increased..
So between 120kHz and 1MHz is the reasonable size of the pond..
Now we need to think about the wanted antenna dimentions , which of itself determines the shape of the field, the sensitivity, and even to an extent the linearity..
At the next stage of evaluation we get onto the antenna circuit, and the conventional (Lev invented) method of linearization and sensitivity amplification - this is an area we strongly disagree on, so I wont go into detail - except that Lev's design was IMO clever for several reasons - one of which being that it allowed the oscillator to be built with little sensitivity to capacitive change in its components, but moved the required high sensitivity to the antenna - so that the demands on the layout etc were greatly reduced.
"When I see all those chokes added to the pitch side in this particular theremin I wonder if they were thrown in just because they saw it somewhere else?"
Perhaps some "designers" do it for this reason - And this StrangeApperatus theremin may well be one of these - In my view, following the reasoning behind Lev's designs, the values for the tank L+C are ill suited to the antenna network of this theremin.. << in my past life, a few months ago, I would probably have entered this design into my simulator or even built it - I cannot be bothered anymore - so I may be wrong in my assessment >>
But for designers who understand Lev's design (Designers like Bob Moog) and implement their theremins on the principles derived from his designs (even if their understanding or implementation is imperfect) there are GOOD reasons for the operating frequencies they choose.
There are two main theremin topologies - those (like Lev's and Moog's) which use a series antenna inductance, and those (like the Jaycar S/C and yours) which dont.. I am not saying either are superior or inferior - The Tvox does not use a series antenna inductor and is a wonderful theremin..
But for those who choose the Lev (Moog) topology, lower operating frequency has some big advantages which tend to make operation in the 150kHz to 500kHz the most likely band the designer will choose.
Fred.