I don't know how it works in other countries, but here in Germany you basically have two fees: First there is the "connection fee", so you pay around 5 to 10 dollars monthly just to be connected to the grid even if you use no power. On top of that is the actual usage fee per kWh.
I guess when more and more people generate their own power the connection fee will eventually increase while the usage fee decreases. So even if you have an average usage of 0 kWh per month because of solar panels you'll pay the grid just to be your battery to buffer the peaks and give back power at night. And I think that's actually fair. If you don't want that high connection fee you'll need to buy your down battery and disconnect completely.