7mm vs 30 cal is an interesting debate. I like both. The man behind the rifle is the most important, assuming both have a good rifle. There are lots of factors to consider: rifle weight, bullet selection (high BC or penetrating/premium bullet), estimated shot distance, recoil, muzzle brake, etc. I'd say that if a hunter wants a light wt rifle, with no muzzle brake and/or the shooter is sensitive to recoil, the 7mm is good. If recoil is a real issue, consider the 280 Ackley, 280 Rem or 7mm-08. The 7mm has a wide range of bullets. Many long range guys are using the 168 and 180 Bergers due to High BC. I've heard Cutting Edge are excellent too. Out to 500-600 yards, I've had great luck with the 140 and 150 TTSX from Barnes. I think this is a better all round bullet for "normal" hunting ranges (25-500 yards) than the high BC bullets, as they perform better on bone, shooting through brush/small trees, etc. I think for long range, broadside type shots, the lead core/copper jacket high BC bullets are probably the best. If I had to pick one bullet to hunt everything that walked in N.A. with one rifle and with "manageable" recoil, a 180 TTSX from a 300 Magnum would be tough to beat. I do like the 300s.
I personally hunt with a Custom 300 Borden Caribou, loaded with a 180 TTSX at 3225, what will kill anything that walks N.A. from 5-600 yards. It is not an ideal 700-1000 yd bullet, but I've never had to shoot more than 600 yds at a trophy animal. I don't believe most people can make 1000 yd, 1st shot hits in most mountain hunting situations because of varying wind speeds and angles, ballistic changes due to temp/elevation and angles corrections. So, for me, I think both calibers are excellent. The bullet and the scope can made each caliber a very different beast, more so than the caliber itself. For extreme shooting the 338s with 250 - 300 gr. projectiles are tough to beat, but I don't consider these "all around" rifles due to the recoil in a light rifle or the heavy weight of a recoil manageable rifle. Keep in mind that I'm not a fan of muzzle brakes for hunting. On the range, they are great, but how often does a hunter or guide put in earplugs before shooting? Not often enough and I already have too much hearing loss from client's muzzle brakes.