The only thing the stocks weight will effect is the recoil... The heavier the stock, the less recoil you will feel.... So, you may be a little more accurate with a heavier stock because you can handle the weapons recoil better. But for a pack it around hunting rifle, you should have NO problems with a good quality laminate stock.
I'm guessing it's a laminate stock anyway as there was no picture of the stock in your link.
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