This is an interesting point. If the only way to avoid submission of information to your bank is to forego banking services, then this is not a meaningful choice, and you're not giving up the information voluntarily.

It is analogous to the point a judge made in a case here: http://fourthamendment.com/?p=10373

"The submission of prescription information to the PDMP is required by law. The only way to avoid submission of prescription information to the PDMP is to forgo medical treatment or to leave the state. This is not a meaningful choice."