Then, why the "Ford Starter Tool" nickname for a BFH?
The only logical explanation I can come up with for this is: as TURNA said "heat creates resistance". By installing a Ford starter relay, you have not changed any of the GM starter's internal wiring. In effect, it is the exact same thing as putting a screwdriver across the terminals of a GM starter. The internal relay is still there and active. So, the Ford starter relay provides enough amperage to overcome the resistance in the GM motor relay coil once hot.
You are correct about the Bendix drive; it's the motor that won't spin when hot.
The only logical explanation I can come up with for this is: as TURNA said "heat creates resistance". By installing a Ford starter relay, you have not changed any of the GM starter's internal wiring. In effect, it is the exact same thing as putting a screwdriver across the terminals of a GM starter. The internal relay is still there and active. So, the Ford starter relay provides enough amperage to overcome the resistance in the GM motor relay coil once hot.
You are correct about the Bendix drive; it's the motor that won't spin when hot.