The last camera I used which had an ODB cable had both low voltage cut off and parking mode via the ODB cable.
I don't have a K2S, yet, but I think you should tell Rayman what you want it to do, not ask what it does, then he can get it modified to do what we want and make it a better camera...
So I would like the ODB cable to support parking mode with a setting for a parking mode timer to stop the parking mode after a set time, the minimum time could be 0, and I would like a 10 minutes option. I assume that it can detect when the car is parked, the ODB reader I currently have plugged into my ODB socket does go to sleep when the engine is off and wakes up when the engine starts, some of the ODB data is live even when the engine is off and the car is locked, eg battery voltage is always updated, so it can watch that to decide when to wake up.