I was told on here that you cannot operate the 12v system with no battery if you have an inverter/ charger, because it needs battery 12v to power it up to use in the first place. Unlike a converter, which does not need the battery.
I don't know if there is a likely scenario with the Li bank if you would ever want to run the 12v with no battery in the future. If so, you could hang onto the converter as a spare for doing that.
IMO hang onto it anyway. You can use cut off jumper cables in the output terminals and use it as a portable charger with the jumper cable clamps to the battery. Makes for redundancy in case the charger in the I/C is not working for some reason.
