Is this actually better than just putting in dry ice?

It seems that dry ice has 571 kJ/kg latent heat at -78.5 C sublimation, while lithium batteries have around 250 Wh/kg = 900 kJ/kg, but with batteries you have the extra weight of the refrigeration system plus whatever loss of efficiency it causes, as well as the risk of mechanical/electrical failure.

It seems that charging batteries is much cheaper though, with dry ice seemingly going for 2-6$/kg and electricity 0.1688 $/kWh = 0.04$/kg to charge batteries.