Without a photo showing exactly what you are referring to, I've got to say that you are both RIGHT, except that you are both talking about different things.

You are RIGHT in that there shall be no openings into the structure which are not screened (ventilation openings, there should not be any other openings).

They are RIGHT in that the fascia/rake/siding should be at least 2", and probably 4" above the roof shingles.

HOWEVER ... THE FLASHING should extend up and cover the difference to the fascia/rake/siding. The FLASHING would also eliminate the openings, making it not necessary to have anything screened.

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Jerry Peck, Construction / Litigation Consultant
Construction Litigation Consultants, LLC ( www.ConstructionLitigationConsultants.com )