I agree with you. "Deceived" is better, though, even without context, because it is more common and more likely. We often speak of being deceived into thinking something and hardly ever of being coaxed into it.
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norwolfIn be deceived into doing, the doing takes verbs involved with both action and cogntion, while in be coaxed into doing, the doing takes ones involved with only action.That's right, but there is wiggle room enough to allow "coaxed into thinking" in the right context.