You can reload them quite well. True you can't duplicate the factory load, but then why would I want to? I'm very happy with my loads. The .338-08 has been around a while before federal "legitimized" it. People have been hand loading it for many years with no problem. It isn't as new as the WSMs or the WSSMs.
I got the .338Fed because I wanted something a little more than a .308, but I wasn't ready to move to a "blaster" like a .338 Win Mag.
I sold off all my centerifires, a rather eclectic collection that made no sense, and decided to have some "purpose" or direction in what I replaced them with. And what I decided was to pick a cartridge family. I could go with the xxx-06, the WSMs, Weatherby's, or any number of other families. I decided to go with the .308 family. .243, .260, 7mm-08, .308 and the .338. Only thing missing is a .22 chambering. This gives me a 6mm, a 6.5mm, a 7mm, a 7.62mm and an 8mm, which pretty much covers it along with my .22lr and 17HM2.
Alf