It's also possible that the Chinatown angle is a red herring in that Rose didn't know what she was talking about. As an out-of-towner, her idea of Chinatown and our well-informed idea of Chinatown may be two different things. Compare Little Italy in NY, which conjures images of The Godfather, but today is not much more than a strip of Italian restaurants. Rose may have been told where she was was in Chinatown even though it wasn't or was just close to Chinatown.
Food for thought on that.
Food for thought on that.