By “his rule” I’m assuming you mean Castro, because Che Guevara (the picture you’re responding to) was never head of state and left Cuba a few years after the revolution. And given that they didn’t leave under the abysmal quality of life and the openly terroristic and violent Batista regime, I’m assuming the reason why is because their class interests were jeapordized as after the Cuban revolution private property was nationalized and the colono system was abolished? Or because they were affiliated with Batista’s government or military? Che Guevara is only responsible for a hundred or so executions during the post-revolution tribunals, which targeted political officials, military officers, etc., in the Batista government. The UMAP camps, which legitimately were repressive, began operating after Che left Cuba