One poster on the following Reddit thread claims the sticker on the side of the lithium version shows a capacity of 3.7 amp hours at 11.1V, which works out to 41 watt hours.
As for the one you have already, a separate thread claims it has a 12V, 19 amp hour battery, which works out to 228 amp hours. Given that it's lead acid, discharging below 50% isn't ideal for battery longevity - so you get about 114 usable amp hours.
All of that to say, the one you have - if it still has the capacity it did new - gives you about triple the energy storage vs. the lithium version. So, the lithium wins for portability, and its claimed peak output is higher when used as a jump starter. The older one should let you supply power to devices for about three times as long.