That'd look cool, sure. But it'd be uncomfortable as hell to use. The Mini is small enough you can hold it from the bottom or wrap your fingers around it from behind without any issues. But the bigger iPad is (obviously) both larger and heavier. You have to hold it from the sides to get the best grip. If it didn't have a bezel, you wouldn't have a place to rest the edge of your palm when holding it in portrait.
The iPad's display will recognize if you have your hand or fingers on the screen and will not impair it when you take a second hand or finger to flick or gesture.