[Neil F]

No need to turn to P. As you indicated it automatically engages park. (Yes this has been argued in past threads)

 

[Neil F]

I have gotten in the habit of pressing P before the power button. I have cultivated this habit, because I have changed the auto-unlock settings of my car. I have set it up so that "Park button" unlocks all doors. I can't remember, what the other/default option for auto-unlock are, but this seems to work for me, and I also know that if I need to open doors, I can do that by pressing P, and also the doors will stay locked until I press the button.

You are correct that the auto unlock behaves differently going to P vs OFF. One way all doors unlock and the other only the drivers door.