View another way: if we hook several piles in series, then lukewarm air from a first mostly discharged pile can be directed into later piles for more heating. In the continuous limit this is the concept I described above.
No, because your steam will be at a lower temperature as you draw down the heat, bringing down efficiency.
Over the season, your sand drops from ~1000 to ~600 (which is fine since your power needs drop in the spring)
At 1000C steel will react with _water_.
To be clear, I'm not talking about cooling a small crucible but a structure that is at least 20 meters in size.
But I have no reference for the cost of setting up such a storage and how it compares to battery or hydro.