To me, accurate is being able to hit what I need or want to. Beyond that, the pursuit of precision is really a separate quest, worth doing for its own sake and our enjoyment, but not essential to the job at hand. Might be rationalizing a bit, but I tend to think that my ability to hold is more significant in the field than the rifle's ability to cluster bullets together. Never missed even a squirrel because the rifle or load weren't up to the shot. My notions about all this apply to how, where, and what I hunt; others, of course, face different scenarios that are more demanding and might allow shooting from positions or at ranges that take more advantage of a really accurate setup, pdog shooting for example.
