I think the .308 Norma would be fine if you stumbled across a nice rifle at a good price. With a bit of handloading you could have a first-rate big game rifle. I would not, however, go out of my way to buy one, since I already have a good .300 win.
Like BCBrian, mine is a #1 with a long throat, and I have seen 180's driven as fast as 3265 fps - but that was a hot load, and I have backed off since then. 3100 fps with 180's was no problem, and 2950 fps with 180's was startlingly accurate.
It's easier to find match brass and benchrest dies for the .300 win. I could see myself buying another .300 win. Buying a .308 Norma would be possible, but unlikely.
