I suppose the other components being utilized and the intended overall weight play a role here. I could see a standard Remington Sporter contour being fine in a light stock if a guy wanted a light rifle that balanced correctly. I personally would not want a really light 338-06. With a mag sporter contour, the .338 bore is big enough to carve a bit of weight out of it, and make it balance more like a smaller bore standard sporter.
This 22" .338WM 700 was very neutral in balance, maybe even barely a touch balanced to the rear, due to the stock choice. Mag sporter contour is really not that chunky with a .338 bore.