Admittedly I do use REAL to refer to the pizza that I enjoy, but it doesn't make other pizzas unreal. In fact, no one owns the word pizza at all, so whatever you like can be real pizza for you.
But I really don't see this as a NY vs Chicago thing. Notice how pizza in all other major cities in the US, Europe, and Latin America is not like Chicago pizza. I do not believe they are all taking cues from New York, but have independently developed pizza that their citizens enjoy. And it's not deep dish. Hmmmm.