The 1911 was the game changer. The SAA (while cool) was not a "game changer" as there had been big bore single actions out already. One could argue that the Schofield was at least as popular in the old west if not as popular in Hollywood's version of the old west.
The 1911 took the semi auto pistol into a new realm as far as fighting pistols go. It was the first semi auto military handgun that fired a true big bore cartridge and did it reliably and with little maintenance.
The Colt SAA was not so much a "game changer" as it was the natural evolution of Colt's that had been made for the previous 40 years.
All offered IMHO ofcourse.
Indicuky