If you assume what's being compared is the platonic ideal of both technologies then you're largely correct, but removing them from the context of the real world (where: high density battery chemistries still wear out quickly, biodiesel is common, the supply chain is a major contributor of greenhouse emissions, the need for power backups is infrequent, and where grid power is still in large part supplied by fossil fuels) isn't very useful. Local-grid scale battery storage is the best solution we have for direct energy storage, and it's very much maturing rapidly, but home units are still restricted in the above and countless (because I am too lazy to count them) additional ways. Ignoring those issues doesn't work; implementation doesn't particularly care about theory.
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