Nitpicking trying to prove a point. A point long gone and irrelevant.This is a good example of your confusion with words and meanings leading to nonsense.
If it is an official term at all, presumably a Client Confidentiality Agreement would be a CCA.
A Non-Disclosure Agreement is known as an NDA.
A confidentiality agreement, which is also known as non-disclosure agreement or simply as an NDA, is simply a contract between two or more parties where the subject of the agreement is a promise that information conveyed will be maintained in secrecy.
http://www.ipwatchdog.com/2017/12/16/confidentiality-agreement-important/id=91206/
Call it what you want, it does the same job.http://www.ipwatchdog.com/2017/12/16/confidentiality-agreement-important/id=91206/