For safety reasons, I don't think they should be stored in airtight containers. Storage regulations require wood materials, at least 3/4" think, with non-ferrous fittings, I suppose this construction allows building gases to escape without causing violent eruptions, at least that's the theory. From what I understand, with air tight containers, pressures and gases build in the event of a small fire, which would result in comparatively more violent explosions.
I don't believe air will deteriorate primers, but this is just my gut feel, things like moisture, water, other contaminants might, but probably not air alone.
I have never tested this, so perhaps others will chime in.