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Well by the looks of it, the barrel is free floated in this chassis you you're going to get more consistant groupings. Generally, the whole chassis system looks to be more for target shooters than hunters
There are technical reasons some stocks preform better than others, an example would be better bedding of the action. A stock that free floats the barrel can also increase the accuracy. Then there are things like allowing the rifle to be adapted to your shooting position rather than adapting your position around a rifle. Adapting the stock to your position will usually increase the repeatability and consistency of your position which can also increase your accuracy. That said if you shoot like poorly just replacing the stock isn't going to make you shoot well.