Exactly. Most of the battles in New York and New Jersey were losing affairs for the colonial army.
I was talking specifically about New York City. I believe Britain controlled the city for the duration of the war, and other than a single skirmish in what is now Brooklyn (I think) nothing much happened there. I've always said that it's no accident that New York City today is one of the most left-leaning jurisdictions in the United States. The people of New York were British Loyalists back then, and they're Marxists today. The phrase "big government" has never been out of fashion there.