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But then, wouldn't we see the same pattern for every shift? As a matter of fact, there are dips at 16 and 20h and no discernible change at 0h.

Night shift can't forget and leave the data to day shift to enter. That is fraud. It is not allowed.

There is no need to remember, you write it down.

Doesn't always happen immediately.

In fact in the developing world (but also in the first world, not so long ago) a child could be registered months or even years after being born, and even the date of birth could be misremembered in the certificate.

Plenty of places in the developing world simply don't record birth dates. When these people need official documentation (e.g. World Cup or Olympic athletes), they'll record either January 1st or July 1st depending on which season they were born in.