Are the barrels on an Axis rifle built any differently or even possibly are the same as used on other Savage models? I have been under the impression that Axis barrels undergo the same inspections for straightness and are manufactured with the same processes and install to the action in the same way and use the same floating bolt design as higher end Savage models. I just do not believe there is any reason an Axis rifle would shoot differently that any other Savage. The cost cutting in the Axis is the "universal" action and the plastic stock without the internal support of the Accustock. The fit and finish of the metal parts and barrel appear on par with my Model 11 Scout if not better. And that little short, stubby barrel on the Scout keeps tight groups even after heated up. The longer and more tapered sporter profile barrels of the Axis probably will suffer from heating.
But to enter the debate, a hunting rifle needs to be able to make three (MOA or close) accurate shots from cold. If what ever critter being hunted is not dead after three shots we have other problems going on. Well, if I was ever given the opportunity to have to defend myself from or hunt a large brown bear, I would probably put some extra holes in him
. The MOA thing has come about as a result of interest in long range shooting which comes about as a result of pressure on (ex) hunters to find suitable hunting grounds and to satisfy their needs taken up target shooting as a diversion and somewhat inspired by military snipers perhaps. Since most game, antelope and elk perhaps being somewhat an exception, are taken within 200 yards I would think most off the shelf rifles are adequate to that purpose.