First shot accuracy is important and second followup may be even more so, depending on circumstance.
However, sooner or later those who hunt a lot will be involved in a rodeo and a rifle that GTH after two shots is one I would rather not be carrying. Mainly because there is something wrong with it. And the rodeo may require good accuracy with a hot barrel, often combined with increasing distance or not so perfect presentation.
Then again, sometimes it is not the rifles fault at all....
Well, much ain't about groups. Point being, the [bleep] should hit what I'm aiming at. I really don't give a flying [bleep] about micrometers and group size. I've seen many a man that can cover his group with a penny not be able to hit a beer bottle at 400 yards.
