As Bartman indicates, this is state specific. In Kentucky there is a general requirement that financial abuse of the elderly be reported. However, there is no specific mention of banks. In Florida, there is a specific requirement to report that mentions banks, but I'm not aware of any penalty provisions for failure to report.
Clearly, it's a significant issue. It's an effort that banks are generally willing to support, but it's the "Oregon" mechanism Bart describes that makes the most sense.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.