On an AC coil you can "Earth", "Neutral" or ground one end. Any other coil that shares the same phasing (instantaneous polarity) can likewise be grounded. You could then use the paralleled outputs of the in-phase ungrounded ends as 1/2 of the circuit, the cases, interconnecting bolts and frame become the other power carrying conductor. If you accidentally ground the opposite polarity end of the coil you'll create a dead short and let out the smoke.
The Bullet only grounds the (-) negative battery lead, not the AC system. This makes life simpler as they aren't fighting possible AC induction effects onto the DC components of anything else connected electrically to the frame.
You can absolutely use the chassis & cases as 1/2 of the AC circuit, but you might unintentionally cause odd issues with the DC side. That's why Enfield didn't set it up that way.
Utility power systems routinely ground their transformers & generator coils to earth to create a common ground plane, i.e. a common voltage reference for the system. Fault current is the only normal "flow" expected over these, there are dedicated conductors for power flow and even a dedicated "Neutral" current conductor. The normal home service entrance supplies single phase 120/240 to the breaker box. These come from a pole top transformer with a 13,800V or 4,160V primary to center tapped 240/120 secondary . At the home's service entrance, the pole top "neutral" conductor is connected to the home's ground rod. Voltage between this neutral and either of the "phase" (normally black & red) conductors is 120VAC. Voltage Phase to Phase is 240VAC. That spot at the service entrance is the only location that neutral and ground interconnect. The house ground wires are a safety feature. The neutral is a dedicated conductor with a 0 volts to ground potential because it is bonded to ground and cannot be otherwise. Either phase conductor will have 120V to ground or neutral anywhere in the home and of course 240 V to the other phase.