I believe that the Tinder Tube was simply a method of lighting pipes & cigarettes. After all, it is not only far easier to use a tinderbox for fire lighting, but the tinderbox is essential for the ease of processing plant tinders and charring cloth. One researcher believes that the Tinder Tube was used for firing some form of hand held firearm or cannon. Again, this makes no sense as the matchlock had its own match holder, and the cannon used a Linstock.
Common copy of a tinder tube as sold by Track Of The Wolf.
Three antique 19th century tinder tubes.
Three Russian cigarette cases with built in tinder tubes.