[imported_luckyme]

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Eh, this line of debate is about using beliefs as indicators of intelligence, so for this discussion, 'what is believed' is the important factor.

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Hmmmm.. What somebody believes can only tell you something useful if you assume, usually correctly, that they used the normal method(s) of arriving at that belief. It's unstated in the OP but we're generally assuming all docs have similar enough knowledge of the case.
If some doctor had abnormal knowledge in some way connected to the case and was able to logically conclude that OJ was innocent then the fact that he believes him innocent doesn't matter because 'why' he believes that absolves him of the crime of sloppy thinking that such a belief usually would indicate.