I'm with you on the love of square pizzas. You get about 12% more crust on a square pizza versus circular (for the same area.) But unlike circular pizzas, a square pizza gives you at least 3 different crust configurations for different "kinds" of slices in the box. So both those who want more and less crust ratio can be satisfied.
Actually, in Italy the style of pizza people eat most is baked as a big square piece and cut into rectangles. These are typically eaten at lunch, not dinner. Italians don't really eat pizza at dinner (as I've been told by an Italian colleague).
As for the pizza in the machine video: it looks downright horrible, and only acceptable when compared to what goes for the average 'US-style pizza'. I'd much rather eat a frozen pizza from the supermarket, or something else entirely. Don't see the point of have 'more customization options' compared to a frozen pizza created in a factory, if the quality threshold of the pizza is so low in the first place. But maybe I'm just being a food snob ;-P