The same pattern is observed in other countries. In India, a Chinese restaurant will typically serve Indian Chinese cuisine rather than Chinese cuisine as it is eaten in China.

Do you think somebody reading nj.com is really likely to be confused about what country the restaurants being discussed are in? This is like complaining about a US newscast referring to "our nation's capital" because every country has a different capital.

Yes, the common usage in America, because the article is about Italian restaurants in an American city.