Recoil really isn't as much of an issue as most people believe. Gun weight really cuts down on it.
It's expensive compared to normal size (308-30-06) cartridges. A pound of propellant only lasts 70-80 rounds. Purchasing brass, even once shot, is $1.85 per piece and you still have to prep it for loading. New brass is even more.
Lastly, the cost of the gun is nothing compared to the rest of the package. Rings, optics, dies, and ammunition. You can't put a Tasco on a 338. I mean, you can, but it would be pretty lame. You should match quality of optics to quality of gun. Leupold at the minimum, Nightforce or up is where you need to be.
Without a doubt, you have to reload to own this caliber...unless you're made of money.