Actually , I use both . I've been shooting Speer 200 gr Hot Cores in my 8X57 for about thirty years and Nosler 225 gr Partitions , Sierra 225's through my 358's for about 20 years . The only difference I've seen is better penetration from the 225 gr Partitions on bigger game . I've used both to kill a number of Moose and other large game , they're both reliable killers and don't tear up a lot of meat in the process . In all honesty , I'd be hard pressed to choose between them . I hunt where there's a very healthy population of large Black Bears and Grizzly . If I expect to run into Grizzlies , I feel a bit better with the 358 , or something larger , in hand . The 8mm is more than capable of cleanly killing any bear we have , but the heavier bullet just makes me feel a little better .
As others have pointed out , a 308 or 30-06 with an appropriate bullet will do anything you need , I carry one quite often . That being said , I've never let practicality get in the way of buying another rifle . If you have your heart set on a fullstock ( stutzen ) , the CZ in 8X57 would make for a very nice hunting rig .
AB