Ed,
I am not sure how the electric fan/fans on your engine access door are wired (my 2000 does not even have them), but on the earlier model coaches with no bedroom slide, they were wired to come on at startup and run until 30 minutes after shutdown. The reasoning for this timing was to prevent or reduce bedroom heat soak from the engine by ventilating the engine compartment. There was a relay that powered the fan through the ignition, and a timer that powered it for thirty minutes after loss of the ignition input.
On the earlier non-slide model coaches, heat soak was seen as a bigger issue because of the "doghouse" under the bed that was used for engine access. This area above the engine would hold heat after shutdown and cause excess bedroom heat. My wife loved the warm bed in the winter with our 1993 Patriot, but it was a real problem in the summer. Therefore, Beaver ventilated the engine compartments on the higher end coaches to reduce this problem.
Gerald