I am not following.is your inverter Connected to the grid?
Of course you want the inverter to give you a warning if the ac input is disconnected or power outage.
Under charge menu absorb and float (40-59v)
Theres 2 setting On Grid cut off voltage set this as a daily routine to transfer from battery to grid to support the load. Off Grid cut off set this the lowest and safely to discharge your battery. It is. This must be higher voltage than you bms lower voltage cut off to prevent turning off the inverter. It is
Under charge menu it wont let you change voltages. set fail every time.