From: Relation Between Laptop Mode And Paranoid Mode
So when the Power is plugged in again, why not the Paranoid Mode turn back ON automatically?
...cause of global energy saving... 
This company takes care for more than can imagine...
When you run the laptop on battery, it will consume more power to display those alerts. So Paranoid Mode is set to off when Laptop Mode is active.
@Christian : Another funny answer. (Please, do not take it personally).
Regards
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