Not an engineer of any sort, but... Canon and Nikon lenses are designed to work with the big pro bodies (which run internally on 11+ volts, although who knows what they present at the lens mount). The D800 and D810 (maybe some Canons as well?) are adaptable between 7+ and 11+ volts - without the grip, they run on 7+, but the grip can take the big D4 battery and it actually speeds up the camera. I'm not sure if there's a regulator in the grip, or if the camera is just designed to run on a range of voltages? I'd find it hard to believe that a lens is so sensitive that it gets fried by running on a couple hundred millivolts "extra".
It seems to be a Sony camera (from your mention of Sony in the original post) - those InfoLithiums are a very similar chemistry to Canon and Nikon batteries, and run in exactly the same voltage range, despite being labeled slightly differently. The only camera battery I am aware of that is ACTUALLY higher voltage in a standard two-cell battery is the Olympus LiPolymer battery, which is well over 7.5 volts, and has issues with third-party chargers with interchangeable plates - they only charge some Olympus batteries about 80%, because they don't recognize the higher voltage.