Mine is a Kawasaki H2 ...
Re "superchargers can produce boost down to idle" That is only true of a positive-displacement supercharger (Roots, screw-type, VW G-lader, etc). It is absolutely not true of a centrifugal supercharger, which is if anything even worse off than a turbocharger in this respect. At least with a turbocharger you can size the turbine so that it drives the compressor into its good operating speed range somewhere in the mid-range of engine revs, and either wastegate or use variable vane angles to keep it from overspeeding at high engine revs. With a centrifugal supercharger, no can do, it is locked in proportion to engine revs, and remember, the natural characteristic of a centrifugal pump is for the pressure it produces to go up with the square of revs.
In the case of the H2, the centrifugal supercharger has been very carefully matched to the engine. It is small and fast-spinning to get good boost in the mid-range, and the flow through it is intentionally choking at high engine revs to contain the boost pressure at high revs. It doesn't produce much boost down low ... but the cam timing of the engine has been selected so that the engine itself naturally makes lots of torque down low; that also chokes off at higher revs but that's when the supercharger stuffs more air into it.
I know it's possible to speed up the supercharger drive of the H2, but it's very easy to get in trouble that way, and I've not done it.