Here is the excerpt verbatim from the AICPA:
Q. — Will entities now become “SSAE 16 certified”?
A. — No! A popular misconception about SAS 70 is that a service organization becomes “certified” as SAS 70 compliant after undergoing a type 1 or type 2 service auditor’s engagement. There is no such thing as being SAS 70 certified and there will be no such thing as being SSAE 16 certified. An SSAE 16 report (as with a SAS 70 report) is primarily an auditor to auditor communication, the purpose of which is to provide user auditors with information about controls at a service organization that are relevant to the user entities’ financial statements.