Generally hunting weight barrels (think skinny) can shoot just as accurately as heavy barrels. The advantage of a heavy barrel is it takes more shots to heat it up and it reduces recoil. A skinny barrel that is properly made will not walk their shots. This is due to stresses built up in the barrel and they change as they heat up. A good barrel will not change due to heat. I have found that many times a fully floated hunting weight barrel will not shoot as well as one that is fully floated and has some up pressure at the end of the stock, but not always. Plastic stocked guns are a little more tricky getting some up pressure at the end of the fore end, because they are hollowed out in the fore arm region, but it can be done. I would not even think about a heavy gun if I was going to carry it more than a few hundred yards at a time.