Possible software advantage? If your phone rings and you put it to your ear, it will answer. Cool right? But Samsung did it first. It looked like the camera's OIS worked pretty well, and at first glance the photos looked nice (that's something we'd have to check on a full-sized monitor, though), but there was definitely some shutter lag. Certainly more than you find on, say, the HTC One.
All things told, the G2 is still a phone we're looking forward to giving a full rundown, but that's almost entirely because of the hardware. Once you're in the safe confines of an app, we expect that Snapdragon 800 to keep things moving briskly. But the built-in software (LG's heavy skin running over Android 4.2.2) is a massive disappointment on first glance. Compared to the OS on other modern smartphones (the Moto X, the HTC One, Stock Android, Windows Phone, iOS) it looks tired, ugly, and and just completely out of touch with what people actually want from a phone.