You should reinitialize SSL if you change the domain name of the storage system. When you change the domain name of your system, the domain name recorded in the certificate becomes obsolete. As a result, the storage system is not authenticated after the domain name change, although the connection is still encrypted. The next time you connect to the system, the browser issues a warning that the domain name of the system does not match the record on the certificate.
Changing the domain name for a storage system that is using SSL can cost time and money because you must have the new certificate signed by a certificate authority.