You should be plenty happy with the Weatherby.
I will have a light rifle before I go back to the Rocky Mountains. People talk about losing a few pounds yourself, which is usually a good thing. But, the issue is that you often have a 10 or 12 pound rifle on your shoulder, high above your center of gravity. Or, you have to hold it in your hand on the high side which uses a hand you may need to catch yourself or grab on to something. Sixty degree inclines are often the rule, and having to juggle a weight around to keep it from gettting you off balance and perhaps falling off something gets old.
I'm having issues with this right now, myself. My wife bought me a Marlin XL7 last Christmas, that was destined to become a .35 Whelen or 8x57mm. I made the mistake of shooting the donor...
Now, I have a .30-06 that will hold me over (for my medium-bore fix) for a few years, and it shoots
great. The problem was weight. It was a little light for my taste, and very muzzle-heavy. I like balanced rifles. I don't like having my support arm get fatigued, if I have to stay in shooting position for prolonged periods (45 seconds, to 5 minutes, depending on the situation).
So, I bought a Boyds laminate stock for it. I figured the proper wood stock would balance the rifle. It sure did. It balances great now, but added probably 2 pounds (at least 1.5). So, now I'm wondering if I made the thing too heavy....
One of my favorite hunting rifles doesn't even belong to me. My dad has a Winchester M70 Featherweight in .270 Winchester. Loaded, with a scope, it weighs in at 7 lbs. Add the fact that it's incredibly accurate.... and I just wish I could talk him into parting with it.
All of this, of course, relates to the fact that I hunt in the Rockies, as well.