Depends.
What type of hunting is done?
Physical size of the shooter.
Shooter experience.
Both calibers are capable as are the 257 Roberts, 260 rem, 6.5x55, 7x57, and yes the 270Win, even the 308Win, and the 30'06 (I'll explain)
Here is the explanation to the larger caliber listings:
http://www.remington.com/products/am...ged-Recoil.asp
I would'nt go the magnum route personally, I think the bark and the bite is still a bit much.
First off make sure the rifle is sized and fitted to the shooter. None of this they will grow into it BS. Nothing will ruin a shooter faster than constantly shoving their thumb up their nose with every shot. Consider firearms that have a ready supply of stocks on the after market, or similar options.