It does if there is a discussion about what cuisines one likes. "Cajun" food not recognized as being such by people who have actually had it doesn't really count as Cajun food.
That's why - in the US, anyway - distinctions are often drawn. There is, for example, a tacit acknowledgment when discussing things like spaghetti and meatballs, baked ziti and all things "parmesan," that it isn't actually Italian food, but Italian-American. Same with Chinese food, although there are probably fewer people in the US who are aware of the differences, as opposed to Italian food.