BC makes no contribution to SG at the muzzle of the gun which is entirely dependent on the aerodynamic and inertial moments and the barrel twist rate. BC will only have an effet on the change in SG as the bullet moves down range as BC will affect the change in the ratio between forward velocity and spin rate (fixed by the barrel twist rate at the muzzle).
What I see:
Looking at the Hornady 4DOF process I see that values in the "GYRO" column increase ("change in Sg") as the bullet moves down range. Using the .30 225 ELDM bullet @ 2850 the initial GYRO value is 1.7 something and the GYRO value @ 1760 is over 5 something.
What I also see is the Miller Sg estimator process accepts data like: bullet weight, bullet diameter, bullet length, twist rate, temperature, and altitude/pressure and produces a Sg number - no "aerodynamic and inertial moments". No bullet form - it can be a chopped off slug or a real pointy projectile. The Berger and JBM sites produce equal Sg numbers using the same data and BC's are not included in the process but recommendations of minimum Sg numbers are. My simple Excel excursion does the same.
The Hornady 4DOF documentation does compare ballistic data obtained using G7 BC's with those obtained with the 4DOF process. Certain other bullet makes are available for 4DOF use.
Whenever I plan a re-barrel job I look at the 4DOF process as a guide in bullet & twist rate selection.