Super chargers are driven by a belt rotating on a pulley attached to the crank, turbo is driven by exhaust gases. Fundamentally they do the same job, but get there in different ways.
If you took 3 bikes to 250whp, one Supercharged, one turbo, and one all motor, they would feel completely different to ride.
There really isn’t a “best” overall, but there is a best for different uses.
Turbo will make the most torque and do it at the lowest RPM, but the trade off is a slightly delayed throttle response. It will also get the best mileage when cruising (the turbo increases overall engine efficiency if sized right). Will return the worst real world mileage most likely though. Boost (torque) is directly proportional to throttle position and largely RPM independent.
The all motor bike will be the sharpest throttle response and will be the most reliant on RPM to make horsepower. Generally will return the best real world mileage. Torque is directly related to both RPM and throttle position.
The supercharged (centrifugal) bike will have the broadest torque curve and the most linear one. It will have very good throttle response, in most cases it will return the worst cruising mileage. Boost (torque) is tied directly related to RPM and largely independent of throttle position (unless a bypass valve is used).
Not hard and fast rules, as you can engineer some of each methods traits out. The missing piece is a positive displacement supercharger, but there isn’t one available for the R3. The PD SC blends the low end torque of the turbo with the very broad torque curve of the centrifugal blower, but the trade off is gas mileage. PD SC is has boost (torque) controlled by RPM and limited by using a bypass valve, no bypass valve systems are largely a thing of the past on PD setups.
Given a perfect world, I’d choose a carpenter 210 kit with a PD SC attached