The italian version I wouldn't call the "modern" version either. Especially since the OP specifically brought up Pepperoni for pizza. Pepperoni is an American invention and was made for modern American pizza. Which is tomato sauce, cheese, and a rising flat bread with a crust edge to hold. Some will argue that the "modern" age of pizza started with the Naples Italy flatbread style, but that's not the most common, most popular, nor the more recent form of pizza. Might as well label the old greek way of sprinking honey, oil, and cheese over a hard slice of bread as pizza. Or would that be an open sandwich? Or maybe a chalupa? See how that can all be foods "derived" from that food source?
To put bluntly, pizza that is made using red tomato sauce, mozzarella cheese, and a meet topping like pepperoni or sausage, with a bit of extra crust at the edge to help hold a slice is an American invention.