I don't understand this parking mode situation
To be able to do parking guard you most often today need to be connected to two +12 wires, one ACC and the other a fuse that is always on.
And of course use the appropriate hard wire kit for that brand / model of dashcam.
There are also still cameras that can do parking guard on a 2 wire setup, but then the +12 V wire of course have to be one that are always on, as otherwise there would be no power when parked.
The 3 wire way most often use the ACC wire as the trigger to go in / out of parking guard, most often with a 12 - 5 V converter
The 2 wire systems are often 12 V cameras, and then the going in / out of parking guard are l eft to the G-sensor to determine, the same cameras also often have the low voltage cut off options in the camera itself where as the 3 wire kits you will find a slider switch, most often allowing for 11.9 - 12.0 - 12.2 and 12.4 volt cut off.
If you are thinking " but dont the cameras have a build in power source" and yes they have but it is for emergency shut down in case of a power interruption, this way the last file dont get corrupted by not being finished off the right way, it is, not for recording any length of time.