I don't know about the Weatherby, by my vote goes for Savage. They are wickedly accurate, giving you sub-MOA groups.
No lie... My old Savage 110 in .308 did this at 100 yards with a secure bench rest. I then clicked the elevation knob up 4 clicks, so I'm 1" high at 100 yards, and I still get the same groupings!
Savage rifles...