Just a thought that as magnum barrels are usually longer then surely it's bound to be heavier?
Anyway, I'd go further and recommend an HB model for a rifle in 7mm Mag to reduce the recoil if there's a factory option. The extra weight tames it to the degree that it isn't essential to fit a brake or a mod.
I have a matching pair of Tikka M65 LH rifles in .308 and 7mm RM. Both have the same action length (.30/06) and an identical factory stock. The .308 has the standard 22" sporter barrel, and the 7mm RM the 25" Continental HB. There is a kilo or so difference between the two. Neither are moderated. Subjectively, the recoil from the 7mm feels about 10% heavier than the .308, which is no big deal.
I view the 7mm RM in a different light to the other magnums as an ultra .270. For instance, a .300 WM is more than anyone needs for UK stalking. Why take punishment you can avoid? I've watched bigger blokes than me flinch and wince firing factory 180gr loads in rifles of similar weight to mine. IMHO in comparison a .30 cal mag is just too much gun, which is another point in favour of the big 7.