I'd say if there were embedded messages (not saying they were), it was more along the lines of "buy our albums" rather than "listen to the Kremlin"... In a way, popular music and other forms of mass culture, especially advertising, are in part getting you to buy more stuff. See, for example, Propaganda by Edward Bernays
Also, more about Bernays and the use of Freud's theories in the consumer society in this documentary (this is just part 1):
YMMV, but this could be what @charleswatkins was meaning. There were genuine fears of the mass media in the postwar period precisely because of the rise of Hitler, which was often attributed to Hitler's use of mass media, and since many Anti-communists saw the Soviets are as bad, if not worse than Hitler, it stands to reason that they'd attribute this sort of manipulation to the communists through American popular culture, as they were pretty ambivalent about it.