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I'm sure it's not the cooling fan for the engine. When you open the door you can hear it in the cabin. The other thing about this is if it were the AC afterblow wouldn't it do it every time you shut the car off with the AC on? I the case yesterday my car had been parked for about 15 minutes before it started. Maybe it's possessed !
I'd say, ask calemasters (he posted above) the question. That does seem a bit odd, timing-wise.
The quote from the Service Manual says the engine must be turned off for 45 minutes, does that mean the fan won't start until then? You don't want the system to activate every time you shut off the engine for a minute, but waiting 45 minutes seems like a long wait.
How about battery drain? You won't get afterblow in cold weather when your battery is more critical, but how much would we be shortening the battery life by running the A/C fan for several minutes every day we drive the car in summer?