Peanut Allergy is the most prevalent food allergy in the US, where as many as 1.5 million people suffer from the disease (American Academy of Allergy, Asthma & Immunology). Peanut Allergy is the most common cause of food related death (Asthma and Allergy Foundation of America).
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I'm not sure which site you are referring to.
If you are referring to the peanutallergy.com vegan recipe that was just listed--yes it should be safe for those with peanut allergies as it does not contain any peanut ingredients.
As always--you should check the ingredients you purchase for any recipe to be sure there is no cross contamination.
Hope this helps to answer your question.
Ruth