Put 2 6volt tractor batteries to make 12v, or a huge 12v truck battery on the excal and you won't get any more depth(only a bad back carrying them) most detectors take what they need from the battery pack to work properly, once the voltage drops to the preset level you get an alarm, there is still sufficient voltage to perform properly but not for long, once the minimum is reached some detectors switch off (etrac/explorer)so as not to damage circuits through undervoltage others just go haywire like the sovereign and excalibur when the threshold becomes uncontrolable, i have fired up the sovereign and excalibur on a 9v transistor rechargable that gave 10.7v, being only 280mah didn't last long but they worked, i have used and still do use AA rechargables in all my detectors and have not noticed any performance deterioration until the low battery alarm starts to sound, nor have i seen any improvement in using higher voltage either (the excal battery charges to over 14 volts and the 9.6v etrac to 11 and a bit)
should this daft theory that using rechargables loses depth because of their 1.2v, i would take it the other way and use 12 to get 14.4v to get more depth, but i know from experienc that this would probably destroy the detector as when charged they total arround 16.5v depending on the quality.
What i will say is that poor quality rechargables do not last long and may give the low battery alarm after a very short time or even imediately after charge, puting 10 to the $ rechargables into a $1000 detector is like trying to run a dragster on crude oil.
i won't comment any more on the topic, use them if you wish, or waste your money on alkalines or cheap rechargables i'm easy either way, i use them and they work for me thats what counts, regardles of what anyone else says or does, same with my lipos.
HH
edit
Most of the rumours about rechargables are old wifes tales from the early days of nicad technology, things have come a long way since then.