True sealing is like the Tatuaje Black.
http://www.vitolas.net/albums/userpi...undle_foil.jpg
As you can see the air has been sucked out and sealed(like a vacuum sealer), so no air can be exchanged. Tape will do nothing, as there is no seal to prevent the air from being exchanged. The Illusione I am not familiar with the foil wrapping used, but unless its sealed(air tight), the wrapping is purely for show.
Think of it per say with food. If you have a food saver, you dont seal the bag, the food will go bad.