In my book, overloading a circuit by drawing more amperes than what a circuit is designed to carry shouldn't cause a Ground Fault Circuit Interrupter to trip. A GFCI monitors for unwanted current flow between either conductor and ground, indicating an unintended current flow such as through your body or water, and trips in milliseconds. Your circuit breaker, though, is designed to trip when overloaded for a few seconds, to protect the wiring from overheating.