I'm sceptical about this. The reason is that all banks in the US are subject to rather stringent know-your-customer regulation. They have to obtain documentation on their clients, which by law can be shared with the authorities. As far as I know, this makes it rather simple to trace the flow of money, at least domestically.
If Apple were to become a bank, I don't see how they would get around those regulations. In fact, I'm pretty sure that once Apple were to become a major financial institution, the authorities would certainly ask for access to data on financial flows -- and given the state of legal affairs, might have a much stronger case.
(Remark: I'm sceptical about Apple wanting to become a bank being the reason for the Apple vs. FBI conflict. I think it is nonetheless plausible for Apple to become a bank.)
If Apple were to become a bank, I don't see how they would get around those regulations. In fact, I'm pretty sure that once Apple were to become a major financial institution, the authorities would certainly ask for access to data on financial flows -- and given the state of legal affairs, might have a much stronger case.
(Remark: I'm sceptical about Apple wanting to become a bank being the reason for the Apple vs. FBI conflict. I think it is nonetheless plausible for Apple to become a bank.)