We are having similar problems, power turning off after no activity, left inverter on overnight and power stayed on.It is actually a typical mode set on most Lithiums.
I have a friend with a KS Energy battery that goes to sleep when the load is low. And when I say "low", I mean he is still using power (some lights on) but not enough for the battery to stay awake.
He now leaves the inverter switched on standby to deliberately waste power by having a load large enough for the battery to stay awake. Previously (before I fitted the inverter), he would end up turning on all the lights to create enough load.
Rediculous situation where you have to waste battery power in order to be able to continue using the battery.
Alpha Batteries have the sleep mode disabled in the BMS settings for the batteries they stock. It is not a feature that in a Recreation product such as a Motorhome or Boat that you want really.
Going to contact KS to see if they can disable this sleep function