Dominoes is not American pizza as much as McDonald's are not American burgers.
Go to an actual good pizzeria in New York and if you still complain about it, im going to assume you are lying.
Neopolitan pizza has a whole association that certifies restaurants and Lombardi's isn't on that list. It's no surprise that the pizza will a different style.
It's also pretty funny he mentions that in Italy they fold their pizza, when that is practically the defining characteristic of New York style pizza.
https://en.m.wikipedia.org/wiki/Roman_pizza
While I do enjoy a good old-fashioned Neapolitan pizza, I much prefer the Roman style, specifically the round thin style and by extension the NY style.