Anti-influenza IgE and anti-ovalbumin IgE

[APV]

In this paper below, 100% of the subjects who received Fluzone IIV
developed anti-influenza IgE after 2 months.
Flu vaccines as we know, contain 15 mcg of viral protein per strain.
Since most flu vaccines contain up to 1 mcg of ovalbumin, is it
reasonable to expect that 1 in 15 patients may also develop
anti-ovalbumin IgE, or egg allergy after 2 months?

Smith-Norowitz TA, Wong D, Kusonruksa M, Norowitz KB, Joks R, Durkin HG,
Bluth MH. Long Term Persistence of IgE Anti-Influenza Virus Antibodies
in Pediatric and Adult Serum Post Vaccination with Influenza Virus
Vaccine. Int J Med Sci 2011; 8(3):239-244. doi:10.7150/ijms.8.239.
Available from http://www.medsci.org/v08p0239.htm

[Macabre]

It's been too long since my college days where I took a class on logic, but I think that the reasoning there is a logical fallacy (and sorry--don't have time to check what this fallacy is called).

But to say:

All As (and there were in fact only 8 of them??) in situation B leads to C.
Therefore all Ds (ES, FS, GS, etc.) also in situation B also lead to C.


I know you're asking a question, not making a statement, but for summary sake, I put it in statement form. 

I don't think that logic holds.