Assuming you would get your hands on latest NASA AETB-8 Rigid Tiles:
https://tpsx.arc.nasa.gov/MaterialProperty?id=5&property=4
Max temperature 1860K, thermal conductivity 0,316 W/m-K IN VACUUM!
Graphite tile storage with temperature swing between 1860K to 860K (1586c to 586c)
100kWh storage would be 507 kg of graphite
Volume 230 liters
Cube dimensions 61*61*61cm
Insulated with 200 mm of AETB-8 space shuttle tile material IN VACUUM
Insulation surface area at insulation midline = 3,0m2
Insulation power loss 8,8kW

Almost 10% power loss per hour.
AETB-8 in nitrogen would have over twice as high losses. 20kW and 20% lost per hour.
Smaller storage would perform even worse. 3000K storage temperature would also perform lot worse as insulators get worse with increasing temperatures.
Compare this with water storage tank of similar dimensions:
temperature swing 100cel to 40 cel
water mass 730kg
insulation thickness 50mm, thermal conductivity de-rated to 0,03 W/m-K
Stored energy 51kWh
Insulation power loss 288W
Power loss per hour 0,5%
One of the above is feasible and commonly used. Another is not that popular and the smartest ones have probably fiqured out already the reasons why.