Yes, it will (at least on my '05).
The car will start up using the last settings for ac/heat, radio, and
nav it had when the car was turned off if the car is started recognizing
the same fob that was in use when the car was last turned off.
Before you turn off the car, switch the nav screen to the radio screen
by pushing the src (source) button so the radio screen comes on and the
radio plays. Push the volume knob to turn the radio off and the logo
will appear. Turn off the car. The next time the car is turned on, the
logo will appear and stay there until you either select nav or radio.
Looks cool at night.
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