Using Starlime 45 Special brass in a 45 Colt chamber that has a diameter of .480" / .486" with .452" to .454" diameter bullets cant help accuracy.
The .480" dia allows the undersize bullet to rattle, bounce around.
The bullet jump to throat is .390" +
Looks like the main requirement is, the bullet clears the muzzle on firing, with little recoil. Accuracy not that important. 
https://gunsmagazine.com/ammo/the-cowboy-45-special/
The throat is in the cylinder. If you look in a chamber you will see that there is a step in the place were if loaded the brass ends. The throat is typically about .001" larger in diameter than the bullets fired. It is a more important dimension when firing cast lead bullets.
The begining of a barrel on a revolver is called the forcing cone. It directs the incoming bullet into the rifling.
There is no way 45 Special accuracy at 50 yards will be in the 3" group area, like Precision Pistol/Bullseye from a 1911.