"I wonder to which extent (the) CIA is responsible for the widespread of American-made cultural products, like pop music, rock and fast foods, and which artistic or cultural movements became influential through artificial means."
I'm willing to wager they influence it far more than we think. Given military involvement in Hollywood and competitive FPS gaming it's very much not out of the question for them to have influence in other forms of art and entertainment. Especially with china's entertainment industry on the rise with tiktok blowing up and video games like genshin impact being immensely successful, we have been and will continue to see an increase in state interest and involvement in art and entertainment.