12v inverters have their "low voltage shut-down" settings at 10.5v typically, with a warning at 11v. Purpose is to protect the battery from being drained right down. Those voltages will be as loaded voltages so after shut down, the battery voltage bounces back to a higher voltage.
With the higher voltage/SOC of AGMs, SiO2, and LFP you can run the batteries down further before the inverter alarms or shuts down, so there is less protection. That might be what they are talking about.
Since SiO2 and LFP can be operated to a lower SOC with no harm, this should not matter with them. But it might matter with AGM depending on how often you do that perhaps. Cure for AGM is just recharge at 12.4 instead of 12.2 if that is their 50% and the inverter will only alarm if the load is really big making the loaded voltage really low.
