I'm not sure what it would feel like to play a theremin with perfect linearity, and even if I did have such an instrument the linearity would be thrown off immediately because I move when I play.
What I found after playing the theremin for a couple of months (back in '96) is that maximum dexterity of the pitch hand is achieved when the pitch hand is as close to your body as possible. Try signing your name while holding your pen at arm's length and you'll see what I'm talking about. So I devised a technique where the thereminist adopts a kind of "Tai Chi" stance with one foot to the side and in front of the other which allows the body to rock freely and easily back an forth (toward and away from the pitch antenna) without changing the position of the feet. This is a radically different approach from that of Clara Rockmore, where the thereminist retains a rigid "at ease" position with feet parallel to one another like a capital letter 'A'.
One of the by products of the Tai Chi approach is that the linearity of the instrument changes depending on your body threshold (how far your body is from the instrument). Perhaps this has bothered me less than it might bother some people because I have six theremins (including two RCA's) and their linearity and various configurations are completely different from one another. I am constantly having to adapt depending on what instrument I am playing. It's a bit like comparing race cars. Each has its own individual "feel" and way of handling, and it is up to the driver to find the comfort zone.
You have to enter into a sort of free-flowing symbiotic relationship with your theremin - a relationship in which shifts in the parameters of your instrument are influenced by YOU, and YOU adjust your movements according to those parameter shifts. It's a kind of dance.
My main problem with most of the precision theremin playing I hear from accomplished thereminists is that there is no fire or passion in their playing. They have worked like MF's simply in order to be able to play on pitch. Playing on pitch is not the goal of theremin playing, it is the starting point for something much greater.
I don't believe that perfect linearity is going to help one single bit in the pursuit of this greater goal.