I disagree big-time, although a lot of what you say is very true. Like:
1. People develop their tastes of what they consider to be "normal" and "good" very early in life.
Yes, but that doesn't make them shun everything that isn't identical to what they've always known as normal. NY style pizza is accepted everywhere in the United States. If you go to just about any food court in the United States, there will be a Sbarro. No, Sbarro is not a fantastic specimen of NY style pizza. But it is NY style pizza, and it's everywhere because people buy it.
Of course there is a market for NY pizza in Chicago, but I would venture it isn't a very big market.
No matter where you go, there is a market for good, friendly, efficient service in a clean environment. It doesn't matter if you sell mediocre NY style pizza, mediocre Chicago style pizza, or mediocre pizza of any other style. If you create a place where people feel welcome and respected, and you give them a good reason to try you, they will come back.
But offering a quality product is a bonus.
See In-N-Out Burger. Yes, their food is awesome, but their food is only one of many reasons why almost every In-N-Out unit is slammed every day from open to close. When you do things right, it pays off, and In-N-Out is the perfect example that no one ever seems to learn from.
The same would be true about selling Chicago pizza in NY. Would you open a Chicago pizza place in NY?
From what I've seen, New England appears to the biggest market in the United States for deep dish pizza. Uno is headquartered in Boston, and they have stores all over the region, possibly including New York City.
So someone already answered your question with "Yes." And I'd think selling Chicago style pizza in New York and New England would be much more difficult than selling NY style pizza in Chicago.