Brass cases are metal too. 
Seriously, that's a good question. Savage shines in the department of accuracy, which can mean tight tolerances in certain spots.
My suggestion is to buy a box of whatever ammo you question, and try it gently. Of course start out with US commercial ammo. If the steel cased stuff is harder to chamber and extract, it may cause wear that you don't want. If it chambers and extracts just as easily, I think it's just fine.
Seriously, that's a good question. Savage shines in the department of accuracy, which can mean tight tolerances in certain spots.
My suggestion is to buy a box of whatever ammo you question, and try it gently. Of course start out with US commercial ammo. If the steel cased stuff is harder to chamber and extract, it may cause wear that you don't want. If it chambers and extracts just as easily, I think it's just fine.