wuzak
Captain
Page 129 or Hermann's book on the Ta 152H specifically states that the Jumo 213E had a two stage 3 speed supercharger. I suppose there is the possibility that this consisted of a single speed first stage that could be declutched combined with a two speed second stage but that sounds like a complicated arrangement. It was used on the PW R2800 Corsair/Hellcat engines.
If the two stages were on different shafts, with one having two speed ratios and the other having one speed ratio the supercharging system would still only have 2 speeds. If both shafts had 2 speeds then they would have 4 speeds all up.
The P&W R2800 used in teh Corsair and Hellcat had the supercharger impellers on different shafts as you say, with the engine supercharger having a single, fixed, ratio, while the auxiliary supercharger had two ratios (Hi and Lo) and a neutral (impeller not spinning).