No, problems 2 and 3 are symmetrical in a more than superficial way. In both cases, the proper course of action is to attempt to conduct an unbiased evaluation of the evidence and of the biases affecting each of you. The difference is, in problem 3, we have already encountered and evaluated numerous nearly identical situations, so it is easy to come to the proper decision, whereas in problem 2, the situation could be new and unique, and missing background information about the effects of bias on the two individuals and the accuracy of their predictions becomes important.