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It's only better if you otherwise plan to use the electricity you produce to compress air, but air compressors at best turn 30% of their energy in to wasted heat so they are 70% efficient at best and then you have to run something off of that compressed air, another loss!, batteries are closer to 90%.
If your goal is to produce a whole lot of heat with the by product being a bit of compressed air, then yes, this is the way to go.
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