Going of the example powering 100MW turbine with a working temp range of ~278C[0] and using an eutectic mixture of calcium chloride and magnesium chloride (ionic halide salt)[1] with a working temp range of ~1440C, can make the "tank of about 9.1 metres (30 ft) tall and 24 metres (79 ft) in diameter to drive it for four hours by this design." last for nearly a day, though with higher upfront cost than a typical NaNO3 + KNO3 system, but nowhere near nuclear costs (except for the similarities with dealing with supercritical water for electricity generation).
[0]: https://en.wikipedia.org/wiki/Thermal_energy_storage#Molten-...
[1]: https://gist.github.com/cinquemb/015f8b0775db2381513f0e20186...
[2]: https://www.solarpaces.org/vc-funded-thermal-battery-based-m...