More available produce year round. Cheaper imported food from around the world due to dollar's strength. More diverse cuisines in big cities, with a lot better Asian cuisines (sushi!) in general than France, due to large immigrations.
OK sort of like if I used the word distributed in a technical discussion to mean a lot of people in different countries are using our application.
on edit: just seems a weird word to use when that has a precise meaning for food, if they had said a richer selection of food I would understand. But as the discussion was about what makes Americans unhealthy with shorter lifespans, and the unhealthiness of Americans is often synonymous with being overweight, saying it's because Americans eat rich food just doesn't seem to make any sense if what they mean is Americans have a wide selection of food to choose from.
yeah, the U.S eats richer food than the French.