I was always inspired by this Vort!
Perhaps I can offer an alternative explanation:
The Midrash cannot necessarily be taken literally. However, that does not mean it has no message. Fact is, the Midrash is telling us that this child, destined to speak with divine presence, would not lower his standards. I don't think this can truly be taken as a historical tale; it's just so improbable. But the Midrash may be giving us a parable, that Jewish children should not nurse from non-Jews, as we consider ourselves holier. We, as Jews, are compared to one who speaks with divine presence, while they are simply ordinary.
(Now, I know this connotes a bit of a holier-than-thou mentality, but I don't really believe there's anything ethically wrong with believing people who follow your own religion have a sort of spiritual essence that others do not. I do not claim we act any better; I claim our religion embodies us with a special spiritual presence.)
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