Oh dude... I don't think you are interpreting that right.
Grid power of 0 kW on that chart is the amount of power you are taking from the grid at that point.
Battery power of 0.67 kW on that chart sounds like the amount of power you are using to run your house.
See you aren't receiving grid power because you are using your battery power.
It's confirmed because at that point the grid voltage is 240.8 V and "grid" current is 1.4 A.
They probably shouldn't call it grid current when it's the current from your battery. But that's a problem with the chart labels, not a conspiracy.
Your chart is calculating battery power supplied from that by P = Vrms times Irms, which for AC sine wave is 2 * 240.8 * 1.4 = 0.67 kW.
It all checks out. No conspiracy.
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