One of the unique(?) things about shooting is that it requires you to understand the absolute limits of the precision of control you have over your body. The slightest movement of your hands, arms, torso, or head is amplified 10,000 times.
Not only do you have to find the limits of control you have over your various muscle groups, but you must come to understand that which you have limited control over, such as your breathing, heartbeat, reflexes, and background muscle vibrations. All of these things conspire to push you off target, so you must find ways to suppress natural reflexes, manage your heartbeat, and gently work around the subtle background vibrations of your body.
I've had the same effect from lifting and fly fishing.