In the inverter is normally the lowshutdown feature which means that if the battery is weak then the inverter automatically disabled, so that the inverter function can not be damaged because of running out of battery power
Low shutdown feature will work after low battery alarm which means if the battery is weak it will issue an alarm, the alarm goes off later after the feature low shutdown will work actively to disable the inverter's
So that the inverter is more durable then my advice is that if the feature has a low battery alarm sounds then disable the inverter to inverter no damage because if often shutdown it will affect the life of the inverter