Regardless of their lengths, I have every rest count as the benefit of a short rest. Except, twice PER LEVEL a player can choose for their character to gain the benefit of a long rest instead. In this case, the rest, regardless of length, is a time of deep refresh and rallying.
The benefit of this rest variant is, the DM can tell any kind of adventure story. It doesnt matter if there are twenty combat encounters in one day, or if each combat encounter is months apart. Whatever makes sense to the story is what happens.