I think there will be a problem with the Savage's magazine and "Edge" length and heavy bullets, especially the Barnes. One of the reasons Rem made the .338 shorter, (.091), then the .300 was the case mouth would reach over the Ogive on the long .338 bullets when limited to the 3.6" OAL. If you plan on using the magazine, take .338 case and measure it with the .338 bullet you plan to use.
With my Savage 116, which was made for the 7mm RUM, and with a Pac-Nor .338 RUM switch barrel, the case mouth comes to the most forward groove on a 225 grain Barnes TTSX at 3.6" OAL, if the case was longer it would be trying to grip air over the Ogive. For me the .338 is for long heavy bullets like the new Barnes TTSX 225 Boat Tail, which Barnes has not figured the BC on yet, it's very high.