RE: Do we "owe" it to anything/anyone to be accurate shots ?
No, we don't owe anybody or anything any particular degree of accuracy. However, we should always strive to shoot only within our own range of being relatively certain of making the kill quickly. For one person, with a recurve, this might be 5 yards. For another with a compound, it might be 30 yards. It's not important to be extremely accurate, but it is important to not shoot beyond your range of effectiveness for that particular weapon.