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Implied fact: a baby is capable of having a religion, despite its inability to comprehend the concept.
7th implication: Religion is genetic
Implied fact: by distinguishing the baby as Christian, there must be non-Christian babies in close proximity.
Actual Implication: You're supposed to care more about the Christian baby than a non-Christian babies.
Unintended Implication: non-Christian babies are less likely to be hurled.
Unimplied fact: all babies in this scenario are likely to hurl, regardless of their (parents') denomination.
I mean, Jewish boys go through a ritual to mark them as part of the religion and christening occurs early too, so I would say that religious people usually assume the baby's religion.
Non-jewish boys often go through the same ritual, even in a jew-hating religion, because of "tradition".
Not in my country. But my point still stands as long as there is religious significance to the ritual for some.