We sheet our thin (cracker) crust b/c it would be impossible to hand toss a 36% hydrated dough!
I think this really depends on the style of pizza served. We make NY pizzas on Wednesday nights as a special and have finally gotten proficient enough to hand toss. The quality difference is striking. When sheeted, it remains flat and thin with no bubbles. The outer crust is created by folding over and looks kind of silly. When hand tossed, the bottom crust gets crispier and the dough rises and bubbles in the middle substantially. The outer crust looks more natural and authentic. It’s a huge difference!
I suspect the choice very much depends on the type of pizzas you are making. No self-respecting NY style pizzeria would use a sheeter, but the sheeter works very well for some other traditional styles of pizza.
Anyone disagree?