You blower is operating correctly. Its pupose is to prevent the fuel in the fuel rail and injectors from boiling after the car has been shut off.
What happens is the heat rises off the exhaust manifold and heat soaks the fuel rail and injectors. The fuel then boils off and makes the car almost impossible to start.
If you look at where the ducting runs you will see it blows directly on the injectors and rail. Once the car has cooled down some, it will shut off.
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