That is a long occurring misprint by Winchester. I have a Winchester Model 70 Classic Stainless in .375 H&H and it weighs 8 lbs. 4 ounces bare.
I wouldn't hesitate getting the Classic Stainless, but you must replace the recoil pad, it comes with a brick. I just got the Pachmayr Decellerator pre-fit, some minor fitting required.
We shot both rifles this weekend and although the Classic Stainless has a Leupold 2-7x33mm scope on it and the Safari Express just irons you really couldn't tell the difference in the recoil.
The Safari Express seems a much nicer rifle I think, sights are better, stock is better. But I do like my Classic Stainless.