Has anyone any experience of BMW cars starting without a driver? I know it an odd question but my daughters car was crashed into by a driver-less BMW. She was in a parking space in a perfectly flat Tesco car park and the BMW parked up couple of spaces behind her, the driver got out and went shopping, leaving a passenger in the passenger seat. A few moments later the car appeared to engage the starter and moved forward and collided with my daughter's car. I'm not sure if the engine started, but a witness thought that it did.
Now, I did wondered if the passenger has done something, but apparently the ignition fob was not in the car and when we went to separate the two cars, the BMW would not start and the brakes appeared locked on - the ignition would momentarily come on and then then it shut down as though it had entered some sort of fault mode.
All a bit odd, but then I did some googling and found that this is not the first time

It seems removing the fob does not deactivate the ignition immediately, and if the radio is switched on, not at all.
Anyone any similar experiences? Turning on the radio, for example, and the engine starting?