Keep in mind they said significant and a history of it and those who carry an adrenaline autoinjector. It could preclude people for sure but it shouldn't be seen as just anyone with allergies to a vaccine, medicine or food because not everyone will fall into that category. Basically you took it in the direction that unfortunately many people will hear. People who have had severe reactions are usually already aware of such things they need to do.
Furthermore reading the article you'll see this "Vaccine expert Dr. Paul Offit said that rather than a "blanket recommendation" for people with allergies, "the smarter thing to do would be to try and look at these two patients and see what specific component of the vaccine they were allergic to."
We know you're already a bit iffy about the vaccine so it comes as no surprise the direction you took it, no offense meant just being practical. But hopefully reading the information contained within the article will at least put some of your worries about reactions at ease.