Well, technically speaking, once enough security vouchers have been submitted and reached the threshold as stated, a report will be sent to an Apple employee (somewhere). The vouchers will then, combined, be decryptable and contain grayscale low-res versions of the original image for confirmation, in which case the NCEMC (National Center for Exploited and Missing Children) will be alerted and law enforcement.
I'm just pointing out that your door being broke down is by multiple false flags and a human will get a chance to "realize the problem and intervene" before it goes to the FBI or whatever. Not saying I like this system, just making a nitpick on your criticism. I don't really know how else you could have a human intervene without "breaking down your door."