No way the PS-2 can wig out with the components involved with charging. The .03 ohm resistor would open, the charging fet would open, and the 5V power supply only sources about 1 amp and starts to shut down after that.
Maybe the battery had an internal issue, or maybe the wires from battery shorted to each other or the chassis. A battery can source a higher current though.
No these are not the type of batteries that can do that. G