Randy and Adam are correct that the BSA regulations do not require it, but if your procedure does, you should observe it.
Some banks require CIP information on authorized signers. I've worked for banks that do and banks that don't. For those that did, there were always authorized signers that had no ownership in the business that balked at the bank collecting information about them. Typically, HOA signers.
Hope that helps!
_________________________
TryingToComply
CRCM