Interesting post. I've got a custom 98 that runs 7 lbs., 4 ozs. empty with 6X42 Leupold.
MPI Kevlar stock which goes just over 18 ozs. ready to bolt up. 1/2 inch rubber recoil pad, not a foam pad.
Steel, Remington FP&TG, lightend as is the action. Steel Leupold QR mounts and rings.
24 inch Pac-Nor #1 contour barrel, .600 muzzle, with shank reduced.
With Ching sling and five rounds, I'm at 7 lbs. 13 ozs.
Can go lighter. Talley Lt. Wt. mounts will cut 5+ ozs. A couple of inches off the barrel and I'm down 2-3 ozs. as well. Lighter 6X35 Leupold will reduce it's weight 2 ozs. more.
I'm not going to do it. I like it just as is. E