One day in a fit of curiosity, I started putting a caliper on my rifle barrels. The Remington sporter taper is larger than my Savage sporter taper at the muzzle. It's got more metal, so it should be stiffer if all things are equal, and in rifles, all things are never equal.
It's fashionable these days to use heavier barrels. Some of this fashion is from the extreme accuracy the benchrest guys get from their heavy barrel rifles, the other motivator to this fashion is from the magnificent job our guys are conducting in the sandbox with sniper rifles.
Don't misunderstand, I'm not discounting the absolutely marvelous job our guys are doing in the Middle East. They're young men, magnificently fit and they're lugging around 10-12 pound rifles in conditions that would give an old fart like me the dry heaves.
Heavy barrels are stiffer than sporting tapers. They don't vibrate as much when the bullet travels down the tube and they are easier to hold steady. That muzzle-forward weight contributes to good accuracy.
However, a standard sporting taper is eminently shootable, capable of fine accuracy. My Remington 700 is a 1983 model with the sporter taper and it turns in fine accuracy, in the neighborhood of 0.9" with my handloads and my indifferent shooting technique. In the hands of a capable rifleman it might show me how well it can shoot, but in the overall scheme of things I'm pleased with it.
You'll do fine with that rifle.