Please correct me if I am wrong. Moisture (percentage) in a cardboard (over time) will be similar to ambient relative humidity. A wet cardboard will eventually dry up in a 70-85% RH room. Just like air dry clothes in a room. Not sure how cardboard becomes permanently damp in this RH range. I don't have access to full paper to see how tests were done, but I would assume "moistened" cardboard has moisture content close to 100% to emit unpleasant odors.The emissions worsen as the cardboard absorbs humidity over time, at a range of 70-85% RH and becomes permanently damp.
As for tea wrapping paper, I would suggest vanilla envelopes, which are breathable, cheap and easy to find. I use vanilla envelopes and cardboard boxes to store my tea collection, similar to Cloud's approach (http://www.cloudsteacollection.com/html ... 028_e.html). Yes, tea bricks and cakes will absorb smell of cardboard boxes and any ambient smell where you store tea. Xing Cha (awakening the tea; basically aerate your tea) usually can take care of that.
If you have 30+ years old tea, put it in a sealed plastic bag or wrap to preserve its smell/flavor.