For hunting it just depends on the game and how often.
I.e. rather than re-site a 30-06 used for Moose and Brown Bear you might be better off with a 270 for antelope up to elk.
that said, the 270s I have shot are damn difficult to get anything accurate load wise for bench shooting (1.25 is the very best). A lot claim they have but my experience as well as some written support says otherwise.
For bench shooting a 30-06 is usually easier to find loads for (all have exceptions of course, some 06s are picky or impossible le and some 270s are target masters)
Shooting game it makes no difference as bench rest accuracy is not possible and is meaningless.
I like the 30-06 for its military heritage but hunters don't care about that so for a lot its not a factor.