It’s a fascinating intersection between
“Character is what you do when you think no one’s looking”
and
“LOOK AT ME! ME ME ME!”
Well, when I use Facebook it is to discuss things with (and keep an eye on) friends and friends-of-friends. I throw nothing open to the public, even “shared” things. Because I sometimes discuss hot button topics.
If these “perfect” resumes are getting written by services, I am curious why the services do not sternly warn their clients about Facebook, etc. Only show it to the public if you also do not mind your potential employers seeing it.