Very good discussion ! Congrats, Gentlemen !

I`d like to ask a question on supercharger charactertics... it can be seen on all fixed-gear superchargers, that engine power output is less below critical altitude. Taking the 1st (fixed) speed of the DB 605A-1 for example, one can see that the engine power output is 1475 PS at SL, and steadily increasing to 1550 PS at around 2100m. Yet the boost pressure, RPM is constant.
This is because of "the extra work the SC has to do", as I have read....
Now, what is this extra work?
I have been thinking on this and the only explanation I could arrive at is that the SC, being fixed to a ratio towards the engine RPM, is trying to run at constant speed, compressing air in the process. Now, when it operates at lower altitudes, whereas it`s compressive capability has surplus, it overcompresses the air too much... since compressing already dense air is harder than thin air, it needs more power to keep supercharger RPM constant. It needs more torque. So it drains more power from engine.
Now, my question is, is my theory correct, or there is/are other reason(s)?