No, turning the unit 'off' while the car is running doesn't seem to actually kill power to the unit, it appears to only puts it into standby. Similar happens when starting the car after listening to it on Accessories. It does say 'Powering Off', but as soon as it's gone it pops right back on. So your music would be interrupted, but only for a moment. When I shut off the car while I have the music player open (PowerAmp in this case), then later when I start the car again, it remembers what app I was in and also where in a song you were, then you just have to click play to resume where you left off.