I have no more than a general understanding of the certification form and the rules governing collection and maintenance of the information, but that doesn't matter because your question relates to ESIGN, not the BSA/AML rules.
ESIGN "consent" (including the "handshake" John mentions) only becomes an issue when you want to use electronic documents and two conditions are present:
1. the customer is a consumer, and
2. a federal law, rule, or regulation (any one of them) requires you to deliver something to that consumer "in writing."
Since the this rule seems to be limited to receiving (not delivering) something from the customer, ESIGN's requirements are not triggered.
That's not to say that ESIGN can't apply...just that it doesn't require you to do anything. As Ken observes, ESIGN legitimizes electronic contracts and also electronic signatures. The Act simply pronounces e-contracts and e-signatures to be a legal option...you don't have to do a thing to receive this benefit.
_________________________
...gone fishing.