Re: super tight chamber??
For several years I had three 7mm Rem mags, two Kimber model 89's and a Remington custom shop 700C. Once fired cases from my model 700 would not chamber in either of the Kimber rifles. I'm guessing if you try your cases from the Savage to other custom 7mm's you will find those cases won't chamber in them either. I'd also guess they will chamber fine in my model 700.