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According to this account by Eire — which I received directly from the author, and am publicizing with his permission — the Times wanted a critique of anti-Castro protestors in Florida. When Eire proposed to write somethng critical about the Cuban dictator himself, he was informed by the Times: “We’re afraid that this approach is not quite right.”
The above paragraphs I read in this post over at Political Mavens. And at that post, you can read what Carlos Eire DID say about the Times, Cuba, Fidel and more. It is well worth your time.