I actually haven't tried lower, The risk is too high imo, once cutoff happens and it switches to Eishkom it still trickles for some reason, so i've seen it go below what i set, and I don't want to risk complete shutdown and needing a jump as i'm unsure if teh inverter will activate the charger if it can't detect a battery, so not worth it since It's so rare that i go that low SoC.
Edit: Beyond building a 48v temp battery by pooling random 12v batteries together I don't have a means of getting 48v to jump it.