Yes there is weight in the barrel for sure but noticed the stocks weigh 32oz I believe I have read and I know that there are lighter options. have thught about a McMillan ultra Light but their prices are crazy.
HeavyBarrel
Well, unfortunately you have to pay to play. The Greyboe Trekker is $499 and will only save you about 4 ounces. Wildcat Composites are pretty affordable, but cost money to finish, and I don't know if they are being shipped out of Canada anymore. Stocky's CF stocks can get you down to 25 ounces, and they are around $550. Manners UC can save you 10 ounces plus, but they aren't cheaper than the options above.