It is stable because the weight is being primarily supported by the big muscles in your back rather than the smaller muscles in your arms. It is not as stable as skeletal support with a natural point of aim; but that's considerably harder to do while moving. You'll also control muzzle flip better because the stock is more inboard - which again, standing still isn't a big deal; but once you are walking and bouncing around, not having the sights go straight up and straight down really complicates fast follow up shots.
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