People use bands to design humidor tops, phone cases, wrist bands, etc. There are always people who would be interested in them. To me bands are more sentimental value than currency value because I can look back and remember that great smoke such as how a scent brings back memories for people. Boxes make good storage and not much else I have found. If people set up coolidors and dont have many sticks its great to throw in a bunch of empty boxes to help hold the RH and is cheaper than buying a ton of shelves for the smoker on a budget. Some boxes like the dirty rat boxes I use for storage. Dirty Rat boxes hold pens/sharpies PERFECTLY in the slots like they were made too. Other college kids might have that use as well. Not many boxes have a real value unless they are limited like the monster series but its still an empty box. People buy boxes because the enjoyment is from the cigars inside, not many people smoke the boxes themselves. But there always is a chance there is somebody who will find value in the stuff you have.
Personally there are certain boxes I collect and have displayed. If you have an empty Frank, Face, or Anarchy box I will trade you cigars for any of them as those are the last 3 I need to complete my collection.
