Not a lot of help here, but this is from the 1911-12 Remington Arms - Union Metallic Cartridge Co. catalog --
1911-12 Remington Arms - Union Metallic Cartridge Co. page xx.jpg
It does show that the shell for the Game-Getter has a lighter black powder charge than the shell for the .44 Winchester. My oldest Winchester catalog, 1916, shows the same thing.