In reality, it's most likely much sooner because you don't need 4000 kWh of coal electricity to manufacture a 250W panel; you have to pay your workers and raw material suppliers instead.
Consider for instance that you live near the Hoover dam (desert, lots of sun, prime area for solar); your panels might never be carbon-neutral.
There's also the question of whether buying Chinese solar panels makes China more or less likely to convert to solar itself.
If energy is the only input to making a solar cell (the worst case) and the cell costs x Wh then the market price can't go below x * ($/Wh), so it pays back when you produced x Wh (thus not buying x Wh from the coal burning power plant) and any energy you produce is both profit for you, and also less total demand for coal energy.