Like would it draw more or less current with higher voltage like 1.6 vs 1.2v in devices like power boosters such as my 4AA mobile to 5V usb charger?
if it is anything like the 2 mobile voltage
boosting 5V usblike chargers i have:
They dont have enough operation voltage with alkalines very shortly
hold out "ok" with ni-mhys but still as the voltage droops cant keep the boost going well.
they thrive with the higher voltage of the lithium cells and will drain the lithiums almost completely (way to much cost).
The boost pulls down the battery voltages , then the boost curcuit begins to faulter , it will either sputter or just stop at that point, not doing any usefull charging.
WHEN those are the symptoms, the additional voltage will allow the curcuit to continue to operate, BUT is not going to have the boost curcuit run that much harder, as they are limited in total output.
most boost curcuits (even some really bad ones) will draw less current from the battery when the voltage is maintained higher.
So
if voltage holding was the issue, the higher voltage chemistry should maintain that better. the charge rate out of the device should not change much over the rate it was doing with good fresh cell items in it. So there shouldnt be some huge charge speed increase, just longer operation at full.
If your Cell charger always WORKS but just doesnt give you enough current EVER, then switch to a Direct drive 4xAA one, and use ni-mhy or even alky, they dont have to do a boost, they have enough total power in them, and with all the extra total power they can be stronger in their charge. Often they are pure simplicity and way higher efficency, but you wouldnt want to use it on something that cant cope with higher total power. Many (but not all) devices using USB charging work fine with the DD voltages that go from ~5.4-4.8v no bs, no lossey curcuit , no failing curcuit junk, no reverse charge of batts as it will cutoff when the voltage drops to low to act like a USB.
Stuffing Ni-Zinc into 4xAA with Direct drive, will raise the voltage to high, which could toast the USB input on the device. i have tested a few USB inputs on the li-ion charging stuff (pda, Phone, external li-ion solar thing) and they start to break around 7V, so i stay below 6V
When determining the "runtime" of the cell charger using a boost curcuit, you just do the Watts to Watts comparison of the battery, the ~2.5W of the battery capacity is then usefull figure. When voltage is higher the actual current drawn to get to the same watts is lower.
If the cell charger never has enough voltage for its cheezy curcuit thing in it, then having a higher voltage battery in there solves that issue, and the actual watt total of the battery is inconsequential, When, with the high voltage the thing actually Works, instead of sputtering and stopping.