As a foodie you are already a purveyor of culture. As a traveler you’re really there for the cultural experience aren’t you? Food is really the ultimate expression of culture. Traditional foods tell you what has been grown, fished, or raised locally for thousands of years. You can learn about the animals of the region, daily lifestyle activities that shaped the menu of a region. You can learn the history of the regions by looking at the foods that are part of daily life. Were they introduced because of trade routes, invasions, or influenced by geographical proximity? Every city will have their own traditions just like there are different dialects and languages everywhere you go.
Why not try a cooking vacation next time. You’ll have a better, more rewarding, more whole experience.