No. But if you think that a study of mob life is representative of American culture I disagree. Not everyone thinks the mafia is something to revered.
If all you see in the GF is mob life, then I think you missed half of the point.
I don't think the intent was to say thet the GF movies are representative of American life but they are, quite clearly, a cultural element of American life the way John Wayne is a cultural element of American life.
Just a part, a bit of the flavor, a cultural reference that most people understand.