That said, this is such a dangerous article, and I'm honestly surprised the NYT published it. It's written by a non-scientist making a "common sense" claim, and it even closes with a paragraph-long variation on the "how much can we really trust science anyways?" claim.
My understanding is that there has been a single study, done among a largely homogenous population, that has indicated Bamba's benefit. Maybe Bamba does help inoculate against peanut allergies -- I think it's plausible, even likely. But it's certainly not anything approaching scientific consensus, the author is not a scientist of any variety, and I think this article has a real danger to mislead.