1-wire choke (internally grounded) single wire from "S" or "STA" terminal on the back of the alternater. That's it.
2-wire, same as above but the other wire goes to ground. Unless specified in the instructions or on the choke, either wire will work for power or ground, The heating element is not polarity sensitive.
The stator terminal on the alternater is used as it only makes power when the engine is actually running, not with the key on but actually spinning running. The eninge isn't running, it isn't warming up. If it isn't warming up, don't want power to the choke opening it up. theory is the choke warms up with the engine.