Okay, I finally had a chance to do some experimenting. Here's what I found with the ignition having been off at least long enough for the courtesy parking lights to go out:
I can turn the dome lights on before the ignition key is inserted.
If I insert the ignition key, but don't turn it, they stay lit
As soon as I turn the ignition key they go out
If I return the ignition key to the locked, or off position, the lights remain off
As soon as I remove the ignition key they turn on
If I simply re-insert the ignition key - even without turning it, the lights go out
If I remove the key again, they turn on
If I open the driver door, get out and wait a while for the parking lights to go out and get back in they act as described above
Very confusing why they are wired like this. Possibly it's a new safety requirement that they can't work while driving?
I also found that the 3 position switch on the dash only controls the right 12v socket as well as power to the in-dash radio. The left 12v socket remains on all the time, even with the ignition key removed.