If I order a pizza, the waiter must bring me a circular pasta cooked in the oven (preferably wood-fired) with a layer of tomato on the surface up to half a centimeter from the edge covered with mozzarella.
This is the basis.
Not really, this is your preference. If we follow your description pizza al taglio is not a pizza. Pizza bianca is also not a pizza and pizza marinara is not a pizza.
That said,
An omelet is not pizza.
Ramen noodles mixed with eggs is not pizza.
A potato pancake with toppings is not pizza.
I agree with you (sorry @mendace

), as long as it made using a dough and it's baked, for me it's enough. No matter the shape, no matter the thickness nor the sauce, just bake it!
