My thoughts, and possibly just mine.
If just for hunting, which is only a few shots a year, get whatever will be most affordable, both in gun and ammo. If you can find one for sale already scoped, so much the better.
If you plan on doing a lot of target/recreational shooting, I would go for the one with most affordable and available ammo, in case you don't want to reload. If you get serious, and start doing matches, and want to reload, I would go with the one with the largest selection of bullets to try.
I have nothing against either one of those rounds, but I was able to pick up a 308 Norma Mag for a song, so I am turning that into a long range shooter. My biggest issue right now is getting the brass. I have resisted turning the 338 Win Mag into brass for it, but if my order doesn't come through soon, I may have to do that.
bob