Forgive a Denver guy's intrusion.
Deep Dish and NY style pizzas are just two completely different animals. The ingredients in the crusts are just totally different, deep dish crust has a much higher fat content, the sauce on NY pizza has a lot more spice where a lot of Chicago pizzas have very little if any spice in the sauce, NY pizza bakes in a few minutes so sausage has to be pre-cooked, while the ChiTown 'za's bake for a long time and let the sausage cook, NY has cheese on top, Chicago on the bottom......shall I go on?
Which is better? Well, I didn't get this big by being that discriminating. Love both.
Carry on.
When you're in Denver, grab a Double Mexican at Chubby's.