"The reason this seems so curious is that all of hookers designs, and the P-63 design make use of compound Supercharging. In fact almost every Allied design I can think of, has a mechanical, centrifugal supercharger, and an auxilary stage that is either a turbo-supercharger, and another centrifugal supercharger."
Where did you get this? The only one that had this to my knowledge was P63 and even that one was not a pure "compound" solution. I understand that compound means that the first stage feed directly the second stage and I'm not sure if that was established in P-63.
The usual configurations were:
-one stage+one speed (Spitfire I)
-one stage+two speed (Spitfire XII, FW190A)
-two stage+one speed(per stage) (SpitfireVII, FW190D9, P51)
-two stage+one and two speed (3 speeds in total) (Ta152)
-turbosupercharger (P47, P38)
Other:
-Szydlowsky Planiol, variable vane single stage variable speed supercharger (Dewoitine D520)
-DVM liquid coupled single stage variable speed supercharger (Bf109)
I'm not sure of the types of superchargers in Spitfires but I'm pretty sure I'll be corrected swiftly...

-C+