Just an single data point, but this Italian thinks pizza from Naples is way better than pizza from New York [1].
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.