Thank you both, helped very much.
So is it really true that the BR/EDR/CB module will be "switched off" if I don't call any functions that rely on it? What does that in practice mean, of course I'm not supposed to open a SPP-Port for example, but will making the module Undiscoverable, unpairable and undetectable be enough for the CC to put the classical Radio into a low power mode? Will I be able to notice that on a scope? Or is the best option for power saving putting the CB-controller into sniff mode?