In destiny when are you ever killing someone or being killed and your more then 5 feet away with shotty? Not often I usually go for something that increases range and stability

Lmfao range is an absolute joke in Destiny. At the distances where an increased range stat would actually come into play, you probably aren't hitting anything just due to the zoom on your gun being too short, making the targets impossibly small and the recoil basically unmanageable.

Depends on the gun and the impact of said gun. If it's a high impact gun, then stability is more needed. The range drop off doesn't matter if you still have high damage due to impact. But lower impact weapons tend to have higher rates of fire and worse stability so maxing out stability there is more integral since they'll best function when you're closer to someone and range doesn't matter in that situation.