Wow! Glad you're OK.
Our systems are designed to run the exhaust fan when excessive heat or smoke is sensed (personally, it seems to me that this could fan the flames). But, I'm puzzled - what precisely was burning? Was it something on the stove or a part of the unit itself? Is it possible that the oven was in a self clean cycle? Is there any grease build up that may have ignited either inside the stove top or within the fan filters?
If you don't grow where you're planted, you'll never BLOOM - Will Rogers