SAMMI came into existence in the 1950's, over seventy-five years after the 44 Winchester Central Fire cartridge was invented. So, firearms manufacturers are free to ream chambers to a wide range of configurations. This is an issue that every shooter of any of the W.C.F. cartridges faces. Griff offers the best solution with the suggestion that taking material off the bottom of the sizing die will allow the "shoulder" of the brass to be moved back. And, this is something that practically every person who reloads W.C.F. cartridges has done.
Redding and Hornady dies seem to be more refined with respect to the W.C.F. cartridges -- they may still need to have the deck shaved, but the profile is more universal than are the Lee dies.
Samuel Colt and Oliver Winchester hated each other. Colt only reluctantly chambered SAA pistols in this caliber, and he messed with the dimensions when he did so. You are the 'beneficiary' of their mutual animosity.