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And the optimization problem at this point in time is that -ideally- you want to have some amount of excess generation on your solar panels, then time shift that with batteries to a point in time when power is more expensive, and have some amount of excess capacity in batteries so you can also sell that power; versus the (amortized) cost of that extra capacity; and/or what will actually fit on your roof.
This varies per house/plot, per contract, and per latitude. But in some situations you can end up at net 0 or better.
Yep, that's the ideal case - given you're in the region where you have reliable sunshine in the winter. It's not the case where I live, when we had total of 7 hours of sun in December 2023.
For sure this won't work equally well everywhere, and I'm not sure if this would still work once practically everyone has solar; but right now it's plausible.
In reality, we have no realistic mechanism for long-term energy storage on a grid scale - we barely start to breach scale where storage can handle daily fluctuations - like in California. And it's not free - it's being costly affair.
Good thing those places aren't where the vast majority of the population is located. Your point is basically unrelated to the conversation being had.