According to 2-13, there's nothing to say the table SHOULDN'T be consulted, but the only rule/case book sitch where the table is granted specific authority is when the floor officials don't hear the horn or buzzer. I would infer from that that in the OP, if the officials disagree about whether or not the ball had left the hands of the shooter, table has no say in whether or not to count the basket.
Also, it appears that if the R doesn't have definite knowledge, the basket should be counted as good. Again, those are just my inferences from the rule book.
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