To me, job titles are not relevant nor do they reflect the role. For example, I am a team secretary, and I had an administrator/team secretary reporting to me. She replaced an admin assistant.
Now my role includes doing some of the tasks the admin assistant used to do, such as filing and archiving, printing drawings, and the administrator/team secretary has just been given an admin assistant to help her, which makes her a manager.
To add insult to injury I have 30 years experience and am a qualified secretary, whilst the a/ts is 23 and has had no formal training.
We have an EA to the Chairman (I'd call her a Private Secretary)
, but she doesn't handle projects, the Chairman has Executive Associates for that
, nor can she make decisions in the Chairman's absence. No-one can do that, not even the other directors
Finally, we have Directors Secretaries, who work on a one-to-one basis, one of whom is also a manager (with a team secretary and an admin assistant). But we have an admin assistant who works for a director, because his secretary was made redundant, and a director who has no support at all!
So, all in all the job title probably reflects the attitude of management, the size of the company, rather than the role performed. Ultimately, we are all admin assistants, and all bosses are managers.
