A counter proposal to reduce missing persons: geo tracker always reporting on everyone and stations that detect “non-tagged” people and authorities then geo tag them. Now when anyone goes missing, you check their location history and cross reference it with everyone in that area. Still has issues with areas of no reception and of being terrifyingly orwellian. And bad actors will still figure out ways to work against the system. Just like they would with missing kids and photos - just don’t take or allow photos.
People love posting pictures of kids, and pictures in general (with strangers in the background). It seems like you'd have to take special steps to avoid having pictures of someone make their way online.
Then again, it could be that national security requires that the technology be deployed sparingly, lest the counter-party learn to avoid it. But this seems less likely to me.
Where families are actually separated, one particular party is in control. And to cover for that, they whip up stories about kidnapping rings where the other party is in control.