Going back to the OP, you can get those statements out to plug the information gap, but you can't really unring the non-compliance bell, even if you're somehow able to include an APYE on them.
I believe that, although there is some customer relations benefit to continuing to offer these antediluvian accounts, they pose increasing risk of operational and compliance challenges as the rest of the banking environment continues its adaptation to current technology and customer preference.
John S. Burnett
Fighting for Compliance since 1976
Bankers' Threads User #8