Probably one of the worst things a person can do is to not finish off a wounded and dangerous predator. Wounded, they're far more likely to be hostile toward any disturbance than if not in pain from the bullet's damage. That holds true even if the initial shot was a mistaken action.
But keep the two issues separate: What's important as to the subject of this thread is the self-defense aspect when not hunting bears. Hunting and exercising proper judgement is a different matter entirely.
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