Batteries are not supposed to discharge at speed anywhere near that of supercapacitors. The trouble is that batteries are basically just a way to control and limit a ton of stored chemical energy. They're just a catalyst to a reaction to occur at a low temperature, and capture the energy released from that reaction. Many battery chemistries have a tendency to go into thermal runaway once they hit a certain temperature, as the catalyst is no longer necessary to allow the reaction. Now granted, it's not going to be the single, high speed short of a capacitor, but it's also going to release a whole lot more energy in a relatively short time.