Maybe I was cultured to begin with! :D
There is a point when food attributed to a culture but not invented by it gains authenticity - when the culture that it is attributed to adopts it. A few examples:
- Tikka Masala (British)
- Burrito (California)
- Siracha Sauce (California)
- Pepperoni (New York?). But, we're still waiting on Italians on this one.