Hanging in the open does expose your guitar to more environmental change than being "buffered" in a case. This would have some impact including quicker deterioration fo your strings, finish, movement of parts due to temperature & humidity change etc.
Ideally they should be stored in a case, but to me, if it makes me less inclined to play then it is not worth it. I bought them to play not to store. :)
Definitely keep them out of direct sunlight, drafts, try to use interior walls, etc.
...so ever since then, I always hang on to the buckle.