You can print and retain whatever paper copies you want, but they're little more than courtesy copies. If you and the consumer agree/consent to e-delivery of documents (whether or not e-signatures were required), then the only evidence that will matter in a contract dispute or regulatory challenge will be the electronic signatures, documents, and system delivery logs. ESIGN consent is not valid until the customer demonstrates capacity (minimum hardware, software, and savvy), so the only way to prove that documents were delivered "in writing" (i.e., "it happened") is to first prove that prior to the first e-delivery the customer received the ESIGN-required pre-consent disclosures and then consented in an ESIGN-compliant manner. Having proven that "written" delivery happened, then you move on to questions of completeness and accuracy of the contents of the e-documents. Once again, completeness and readability of an electronic document's contents can only be judged by examining the bank's e-copy of the documents transmitted electronically.