> The inverter is smart enough to disconnect from your line if you are not consuming energy, so there is no risk of sending the power back to the distribution line.

I expect what you're talking about is anti-islanding and so it's not interested in what you're consuming locally.

The anti-islanding works by detecting whether it can make a noticeable change to the constant 50Hz (or 60Hz depending on country) AC waveform, if it can that's an artificial waveform made by itself or similar devices in the neighbourhood and so the anti-islanding protection stops delivering power. But if when you try to change the waveform it won't budge, that's because there's say 10GW of much beefier power sources out there keeping it the same shape it always was, so it's OK to generate electricity.