I have not serviced one of these yet, but it sounds like it has the same platform as the GE Harmony...with a separate blower and drum motor. The Harmony (electric) dryers were notorious of kicking off the heating circuit if the control didn't sense a sufficient airflow from the blower motor. I don't remember the details, but I think another technician discovered that triac(s) within the motor caused the motor to slow/stop until the entire unit is cooled enough. When the blower motor stops, the heating circuit is eliminated to prevent fire hazards.
I suppose it's possible that this gas dryer is wired such that if there isn't enough volume from the blower motor, the entire unit is shut off, rather than simply shutting off the heating circuit.
Let me know what you find out...and good luck!