I like what someone else said on here about they don't show the miss haps on the outdoor programs. I have seen that video and a 7mm Mag is more than capable of killing an elk but I am with you. If a 1000 yards is the intended range the power of a 338 would be my choice over the trajectory of a flat seven. Watched a guy shoot a moose with a 28 nosler at 600 broadside, behind the shoulder, it took three shots to expire the animal. The bull acted like the first shot was a bee sting. I just don't know how ethical it is to shoot something with a caliber that lacks the minimum needed energy for that animal at a given range. 338s for the most part take to long to get there, which is another issue. I personally would most likely opt for a fast 30. 300 RUM etc.
The op stated he was looking at a 338 Lapua but if it was going to double as a hunting and long range rig, I would opt for the 338 RUM, which is what I did. It is my first choice for all things Alaska.
In full disclosure I have never been a fan of the 7mm rem. It is my least favorite cartridge. Don't own one and most likely never will. Got a friend who owns one and talks about it all the time. He has killed everything on planet earth with that thing. A Browning BAR he has owned for 40 years. Guy is the Jack O of the 7mm rem and doesn't mind letting you know.
Killed way more than I ever have, but like me never found the need to shoot anything beyond about 650 yards, just because we can. Any way he is the reason I don't own a 7mm rem that and I prefer the 300 WM. A little rivalry goes along way!
I want own a 7mm rem! Ever!!! That's my story and I'm sticking to it!
It's the principle of the thing! A man has got to stand for something!