This is used when "flavor" is meant, particularly on Food Network shows where culinary experts are expected to make wise and profound judgements about people's food, and to talk about it in such a way that the viewer, who obviously can never taste what is being discussed, gets some kind of feel for the taste experienced.
Flavor does not have a profile, unless you're looking at it from the side. :) Food has flavor. The addition of "profile" is meaningless; it is simply padding the word to make it sound more professional.
If they are meaning to identify the overall set of flavors in a given cuisine (lots of cardamom and saffron in southern Indian cooking, for example), this is a regional cuisine. Perhaps that has a "profile" or "portfolio" of common flavors.
But a given, individual dish has flavors. Just say that.
