Here recently I noticed this problem on mine as well. Only started once I upgraded to the new 2.0 Dev. I never noticed it because I always take the player out with me expect the otherday my wife stayed in the car while I got out and I took the keys with me she asked how my player stayed on. It remained on after turning the ignition off.

I'll try reapplying the image today to see if that helps. For me though it's not a big concern about draining the battery, its only in the car when I'm in the car.