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This assertion, itself, is the result of groupthink. In about supper of 1994 I went to a lecture by Kennedy advisor Arthur Schlesinger Jr. He called the free Cubans an "embarrassment" left over from the Eisenhower administration. The leftist intellectuals around Kennedy believed contesting communism was contrary to the force of history at the time. The invasion force was promised air support. When they hit the beach, the promised air support was denied at the critical moment leaving the free cubans to be killed. Two napalm bombs would have caved in Castro's army. Schlesinger laughed about it.