I've handled a Sako but never shot one. The stying is similar to the Blaser R8 that I do own and have shot extensively. I've also owned a CZ550 Safari.
The svelte feel and handling of the Sako/Blaser are amazing, but the narrow width of the butt pad can make shooting a .400+ a challenge to your shoulder. That is why I know Blaser offers a "safari" style recoil pad that is wider across and thicker in length (adding LOP) than their normal recoil pads. Not sure about the Sako, but I know several owners change out the recoil pad for something with more surface area and a little thicker. The CZ550, although blocky, has a substantial recoil pad surface area to soak up that force.
The trick is finding a rifle that fits you properly and has a good balance. As caliber goes up, rifle fit becomes more important. Second is weight vs caliber, it has to be within your tolerance limit to shoot it accurately. I'd think for a 416RIGBY with scope, ammo and sling that 9.5-10# would be in the ball park. Lastly would be stying...special piece of timber, engraving, special finish...etc, something to make it
yours.
Lots of choices out there. Something to make everyone happy...at least until they pull the trigger.