I do not know, but I suspect a Lithium Battery will behave very much like a lead acid battery. If it is very weak, you will be able to safely use your booster to jump start the bike. If it is completely dead, it will act like a black hole, absorbing most of the power from your booster until it has a minimal charge. If it is shorted, like a lead acid with broken plates, It might trip the internal electronics in the booster pack and that will shut down. In fact, if a dead lithium battery absorbs enough power, the booster's electronics might turn it off as a protective measure.