More Voltage = Less Amp Draw?

FWIW, I'm experimenting with Kontronik Jazz controllers in my cars. So far I've been pretty happy with a 40-6-18 in my RC10 on 3S, and this controller can do upto 6S.

I've got a 1:8 conversion in the (seemingly never ending) pipeline that I plan to power with a Jazz 55-10-32 and 10S lipo.