[GoLightly]

Essentially, it allowed for a couple who wanted the child to take it and adopt it

You're right, it did. The story of babies adopted by a she-wolf could have come about after seeing a wolf carry off a baby left to the "will of the gods".

[Ciexyz]

I’ve read accounts about the Vikings also having this practice. The father would examine the newborn child at birth and then decide its fate.