What you may also find is that after some amount of time in accessory mode (playing the radio in the car, with the engine off, for example), the car will automatically turn off. I haven't tried to time this, but it seems to be somewhere between 15 and 30 minutes.
Note that if you had the car running, and just turn it off, the radio will stay on for some shorter length of time. The above time limit of 15-30 minutes (or so) is if I have turned off the car, and then touched the ON/OFF button one more time (foot off brake) to engage accessory mode.
I THINK that it is the "battery saver" software of the car that is turning things off, and perhaps the time limit is variable, based on battery voltage?
When it turns off automatically, if I start the engine, let it run a minute, then I can go back to engine-off accessory mode again (although I haven't tried to see for how long....)
(I've deleted part of my post, due to my mistake in not realizing that you can put the ignition ON, but without starting the engine, via an additional button push (with foot off the brake) past the accessory mode. Per the e-mail below... My bad!)