All interesting stuff - i enjoy perusing your site.
I think you are misunderstanding my query about the control system though. I realise that the unicopter will be a very flyable machine, due to the rigid counter-rotating rotors. I understand that the controls will be very intuitive, with no cross coupling effects.
I really am just thinking about single channel response to either pitch or roll. If a chopper is in stable hover and is given a brief forward cyclic movement, the ideal is that the machine will settle with a forward speed until the same is applied rearwards. What I suspect happens is that the chopper continues forwards, until the centroid "pendulums" the chopper back to hover again. Likely it will swing a couple of times before settling back into a hover.
This means that the pilot, in addition to controlling the attitude of the chopper, is also controlling the pendulum swing. The practical upshot is that an inexperienced chopper pilot (or me, if i ever got the chance

) will end up struggling to match the pendulum frequency. This is what I mean by control damping, which I suspect to be an inverse function of disk loading (since rotor movement will damp motion). A gyro in the control system would effectively null this pendulum effect, or at least push the frequency down so low that it wasn't noticeable.
This is why I suggest a gyro in the control system. It's purpose wouldn't be to correct the basic characteristics of a very flyable machine, but to enhance them. The machine would become as easy to fly as the car that got the pilot to the airfield. If I was a "well-to-do" looking for a plaything, that would be high on my list.
Mart