yup, should be fine...
Just don't go crazy with the wattage really... the mod does all the work and it's goal is not to tax/push the batteries beyond their capacity, but as those are good batteries, no problem.
Worse case, if your batteries are too low, the mod will not fire and give you a "low battery" message.
I don't have a G-Priv, but just got some predators that show the Amp when fired, and at the standard 45W we use with our tanks, we hit about 9A... so not even close to the rate 20A of the HG-2 we use.
The G-Priv does show the Amp levels... just check it out, but note that this is the Amp from the board, not directly from the battery.. there's a bit of scientific magic in how a regulated mod works, which converts the output of the battery, does a conversion that can push more wattage that you would, should you be using a mech...(basically it's a DC to DC conversion that increases the voltage to increase the wattage) That said, if your mod can't get the power to push the Amp needed, it simply will lower the wattage.