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Anakin initially had some predispositions towards the Dark Side, perhaps after losing his mother, or perhaps he has some psychological issues (?)... But the fact remains: if Anakin had been unconscious, and Obi-Wan had fought Dooku, I am 100% sure that Obi-Wan would have spared him... And if he had spared him, it is quite possible that he would have revealed the truth about Palpatine.