Actually many people believe the same but in reverse. A lesser known fact is that the SSA assigns a SSN to every child born in a hospital Source - SSA guide on Process. It is supposed to be opt-in but court cases by Native Americans have shown that its essentially mandatory and so the driving force of these live births are to avoid their children being branded by a number than can serve as an identifier for the rest of their information. When these kids grow up they often have to get their congressmen involved to get the SSA to issue an SSN since one was not issued at birth. It shows their process works to an extent since they literally have to be vetted by local congressman to show they exist. I am sure there are users in privacy focused communities who would kill to drop off the grid similarly.