Why would you go for such a chambering? if for sentimental reasons or if you have a cheap plentiful supply of fodder then I could understand, the cartridge is (ever so slightly) RIMMED just like to '06, 338Lapua, 308W not as much as the 220swift howeverjust wishing to clarify not that it would cause feeding issues. WHAT 30-06 RIMMED????

Back to the '55; odd rim diameter half way between standard and magnum size projectiles may be limiting factor with the odd size @.306". Case vol between the 308W and 30-06. quite a bit of case taper would cause more bolt thrust (but good extraction and more room for an ackley improvement!) and possibly lug issues with v.hot loads...careful the chamber doesnt have any lube in it!!

my 2c
D