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Three reasons why I am positive they don't go out in 20 minutes.
One, they are not shown on the GM RAP circuit schematics.
Two, the GM schematics for the accessory plugs show:
One of the front ones (I assume the left) is powered through the 20A AUX PWR 1 Fuse (51), while the other front one, and the rear is fed through the 30A AUX PWR 2 Fuse (45), and both fuses are connected via the underhood fuse block bus to the RED wire that connects directly to the battery.
I have plugged in my GPS and left it overnight, but when I come out in the AM to get in the H3, the Green power light is on and I can see it in the window before I hit the remote.