RR
I have no hard data, but they like most barrels will undoubtedly go through thousands of rounds before suffering any noticable loss in accuracy. The 30-06 is not a real barrel burner, like, say, a 22-250.
I doubt most of us would ever shout out a barrel. I'm not sure I'd personally want to shoot a 30-06 THAT much. That's a lot of ammo from a fairly hard kicking rifle.