Yes, I'm sure the camera turns off. It doesn't respond to any button until you take out the batteries.
Normally it turns off after the second shot, when the blue led is on. But it has also turned of after taking the third shot, when the blue led is on.
Also the second shot (or the third) is not saved as jpg nor raw.
I have tested this in good and low light conditions. (my home, my office, nature, beach, etc)
By the way, I have the 1.03a firmware version.
Thanks!
Carlos