I have a Tikka T-3 Lite in .300 Win, and it jumps quite a bit off the bench. I replaced the factory pad with a Limbsaver, and that helped but it is still no fun to shoot off the bench. I'd rather shoot my .300 Wthby with magnum contour barrel and an HS-Precision stock off the bench than that very lightweight Tikka!
I have had the Weatherby for many years. My brother re-barreled the Mod 700 for me when he was going to Yavapai Colleg's gunsmithing school. He also trued up the action, etc. and the gun shoots 3/4-inch groups consistently. I went with the Weatherby so that I could try to emulate either the .300 or .338 Win and shoot heavier bullets as fast as the lighter bullets from the .300 Win. Now, I realize it doesn;t make that much difference in the real world...and the Tikka is a joy to carry up the mountain.
“That rifle on the wall of the labourer's cottage or working class flat is the symbol of democracy. It is our job to see that it stays there.” George Orwell