I reload even my .308. If for some weird reason I wanted to deer hunt with an oddball military gun in a weird caliber, I'd surely handload it, too.
If for no other reason, factory ammo costs too much. Even 8x57 is drying up and the available milsurp that I've used in the past was iffy anyway, and corrosive. I really prefer to reload it, but out of my Hakim, I have to chase brass and that's not a good thing for reloading. Frustrating. LOL I guess that's why when I want to play with an auto, I use the SKS, cheap milsurp, no chasing brass. But, I wouldn't have that problem with a bolt gun.
I also have a 8x57S chambered 88 commission rifle. It shoots WAY high, regulated to 300 yards I guess, but it shoots high. Not very practical and the action isn't particularly strong compared to a 98 action. I reload downloaded stuff for it. I'll stick to "remchesters" for hunting, far, far more practical and ain't like I don't have a good selection from which to choose. I think .308, 7mm Rem Mag, or my .257 Roberts can kill whitetail and I've proven it over the years. I ain't gonna replace 'em with a Mosin or grab one of my milsurps in preference. That Hakim is accurate, but it's also about 85 lbs and 50 feet long, not very practical afield. I can practically holster my M7 and it's got a scope on it and shoots 3/4 inch groups. No brainer there, eh? It's about all I use anymore unless I'm handgun hunting or decide to use my Hawken.
My M7 is my go to (not a lot off your .30-06 for ballistics on whitetail), but if it goes down for some reason, I'll use my .257 Roberts or my 7 mag as backup, not a milsurp. I'd have to be out of choices before a milsurp got chosen, LOL! I'd either go handgun hunting (which I enjoy) with one of my revolvers or my .30-30 Contender or perhaps my sporterized SKS would get used. I have it rigged for night hunting hogs at present because I thought I'd give it something to do other than collect dust and range fun duty. It ain't much for accuracy, but it'll get the job done to 100 yards. A 94 Winchester would be a superior hunting rifle just from accuracy alone IMHO. Heck, I have an iron sighted .357 Rossi 92 lever gun that'll do about anything that scoped SKS will do, but I've only killed one deer with it, that at 80 yards. No lack of choices, though, in my house. LOL