The key difference is the hydrocarbon "battery" has a volumetric energy density of around 12kJ/L if you include both halves where the sulfur one is still around 7MJ/L
TnT or nitroglycerin is much more dangerous in spite of much lower energy density because the energy is all in the TnT.
Of course this isn't the only consideration (the fact that TnT releases nitrogen which suddenly wants to be much bigger is important, for example), but it is a reason to hesitate around such a battery and carefully consider whether you want to throw it around at 100km/h.