No--SIDS and severe peanut allergies occur at different ages. Asthma and peanut anaphylaxis have increased in absolute terms. No question. See above post about soy bean formula possibly being the sensitizing culprit.
So it's possible that in years past, before soy formula was available, the babies might have died from "failure to thrive" and wouldn't have become allergic to peanuts?
I would not be surprised if another "sensitizing culprit"-- childhood vaccines-- might have something to do with an increase in allergies of all kinds, including peanuts.
We are imposing highly toxic materials into the vulnerable immune systems of babies, and then expect them to come away unscathed. I do not believe the human immune system was designed to handle these toxins at such a young age, and so many given at once.
There have been links to autism, SIDS, allergies and asthma related to vaccines. Try the National Vaccine Injury website. I think they have good info on this.
Basically I think our immune systems are all screwed up, and the most vulnerable would logically be people who as babies were not given immune-protective human mother's breastmilk, and loaded with vaccines in the early stages of life. It would not seem illogical that hypersensitivites to ordinary proteins such as peanuts would result.