I’ve got a 338 M70 Alaskan in a Legend stock. It’s got the factory 25” barrel on it along with a Leupold 6x36 on top. Runs a few ounces under 9lbs and works great for me.
I agree with the others though, around 8 1/2 - 9lbs for an all up 338 feels great to me. It doesn’t take much to get there either so a lighter barrel doesn’t hurt.
