Hi, Wtraymond.
Not an EE person, but I will give it a shot from what little I know:
As far as I know, unlike the MM lite, the BB NG could not be runned by one normal AA cell only(Alkaline, Nimh, Nicd)
It probably should run fine on CR 123 and AA li-ion(if V of it is 3V), I am not sure about R123.
BB NG 1A is to provide 1A of current to the Lux, but in order to maintain that current regulation, it might have to pull more than 1A from the batterie(s).
And since there is a high current, the voltage of those batteries(especially alkaline) will not hold up well aganist the high current; which in turn will also mean the BBNG will drop into it's safe mode sooner(shorter regulation time)
Personally, I have and used BBNG 500 and 750 for minimag sandwich(and 1A for PM6 mod), and I think there is for sure some noticeable diminishing return here for increasing the current like that.
A user might experience much shorter runtime(from 500 > 750 with same bin Lux III, my experiment had shown about 30% less runtime), in trade for not very obivious gain of light by naked eyes(I would say the preceived increment will be 10-20% from the same reflector, again same bin).
For powering by 1AA, and if you desire some degree of brightness, I would suggest Madmax+(~700ma?) for Minimag setting; MM+/MM/maybe a BBNG 1A for single CR123 battery. And Madmax series, from my understanding, seems to be more 'effcient' since it will suck the batteries drier.
Hope this helps! /ubbthreads/images/graemlins/smile.gif