As far as why the charger causes the light to blink. That is because many/most electronic items have some capacitors from L and Neutral to earth, usually as a RFI mitigation strategy. These caps will now allow small ground currents to flow. I suspect your polarity lamp is a low current LED type?
If you wanted to get further into this, take an AC voltmeter, and measure L to GND, and then N to GND, with/without the charger connected to see yourself how the line is "floating". Floating, means not tied to any reference, so is "non-deterministic".
btw, Navy ships have historically been floating, with an array of light bulbs in a panel for viewing by the electrician. The status of 3 lights (for three phase), indicates if any phase has a fault to earth/hull. Three dim is good. One out and two bright indicates a ground fault. This system is a very primitive ground fault indicator; not for human safety, but for ships fault tolerance.