And if you did jigger around motor, prop, and ESC to match 3 cells, you'd need a 4000mAh pack, which would weigh roughly as much as a 4S 3000mAh pack. If anything you'd add weight to the system because you'd need bigger wires and a bigger ESC.
You need a certain number of joules to perform the pattern, and LiPo batteries more or less weigh the same amount per joule.