I've heard this asked before, and, as I recall, the problem lies largely with the base diameter of the .350. I know the difference (from the .358) is only a little under .060, but I understand it is too much to allow the case to be properly picked up and extracted by the bolt.
Another more pragmatic reason would be that the .350's ballistics are similar to - if not a hair behind - the Whelen, so the Whelen becomes the more desirable option in this rifle.