Something the article didn't mention is that surgical tape should also come away from the skin without pulling too much. This is especially important for elderly people, or others who have fragile skin for one reason or another. Tape that grips too closely can actually pull holes in the skin of people who already have problems with fragile skin! For instance, if an elderly person has an IV, the nurse should make sure it's secured with a low-residue surgical tape that will pull away very easily from the skin.
Paper tape is usually the best for fragile skin. It tears more easily than the nylon variety and doesn't usually leave much residue. If kept in a first aid kit, though, the kit should be stored in a cool, dry place, or the tape will get sticky.