They might, but I personally would not expect much/dramatic change. I also advocate trying simpler things before more complicated or expensive things. If you end up getting around to bedding, etc, I suggest NOT messing with the forend pressure point or bedding until you've tried the quick & easy check of putting a couple thicknesses of matchbook cover (similar to cardstock?) under the front of the receiver and screwing it all back together to spec. This should lift the bbl off the forend pressure point, and will help you learn whether messing with that part of the stock is going to drive things in the direction you want. I have a Hawkeye in 308, and I'm pleased with its accuracy, though it's not a target rifle by any stretch. Also, it's a little finicky (not bad, but a little) about ammo based upon initial load work. Nevertheless, it shoots quite well.