You're wrong.

Lithium batteries contain little to no elemental lithium. They normally contain lithium cobalt oxide, lithium iron phosphate, or lithium nickel manganese cobalt oxide as the anode, and a lithium salt as the electrolyte.

Water is about the only way to put one out because it's an exothermic reaction (water is to cool it down so it stops), and two out of the three are self-oxidizing so you can't just smother it.

The biggest danger of a lithium battery getting wet is that it shorts, which can lead to a fire because it goes into thermal runaway. But this can happen if you have one in your pocket with spare change (most of the vape fires in the 2010s were this)