Well what the vendor Dongguan said is not incorrect.
LFP 0% SOC = 2.50V and 100% = 3.65V and yes the BMS should force OFF at either of those voltages to keep the cells within their specs / safety margins. Now many of us tinker with the BMS settings and play for the margins giving us either 90% or even 80% of actual capacity to stretch the lifespan / cycles as much as possible. Really, 10 or even 20% isn't much in the grand scheme and you can dip into it if needed, unlike FLA for when you take them below 50% you are hurting them.
Now take 280AH: -20% = 224AH. -10% = 252AH and your getting 220AH. Your BMS setting "Designed Capacity" which you have set for 2800mAh (or 280AH) but that assumes 2.50V to 3.65V. That should be adjusted according to settings. * Any monitor that you add on like the Aili 2-Way also has to have the same numbers to match what your setting to. If you take a 280AH pack, derate it to 250AH, then your settings should reflect 250AH, not 280AH. BattleBorn 100AH Batteries are actually 110 to 115AH but they derate them even though they are matched sets to ensure 100% compliance to their stated output.
Technically, the BMS should not be doing cutting off as that is not its job unless it is to protect the cells/pack. It is the job of the SCC/Charger & Inverter to cutoff for Hi/Lo Voltage conditions. As for the Out of Temp conditions, the BMS certainly has to have that control for the cells & pack, and the SCC / Inverter systems should be able to deal with it too, unfortunately, not all are capable for various reasons. My own Midnite SCC & Samlex Inverter can't use their temp sensors for lithium system, they are for FLA & Temp Compensation only. The samlex Temp sensor can be used as a disconnect relay input though.
* BMS NOTE: Some BMS' take a few charge/discharge cycles to get prperly set internally, especially if they're reading Internal Resistances of cells.
Because we play with the BMS and fudging around with the voltage per cell settings, that will cause some issues on readouts & accuracy. This applies to many BMS'. Ideally, it's best to let the SCC & Inverter do it based on what you want. So if you want 2.85 for Lo & 3.55 for HI cutoffs then enter those values into the SCC & Inverter X volts per cell X number of cells.
You can charge your cells till you are blue in the face and amperage in is zero, the moment you stop, they will settle for the next hour or so (pending on cell size) and will more than likely end up around 3.55V per cell.
With some chemistries, it is easier to determine the difference in balance from voltages than others. With iron phosphate in particular, it is difficult to determine a difference in state of charge from voltage alone. The difference between 3.2 volts (open cell voltage / no load) and 3.35 volts (open cell voltage) is far more significant than the difference between 3.35 and 3.65v. 3.2 volts (open cell voltage) may equate to around 30-40% while 3.35 volts may equate closer to 80-85% state of charge. This sometimes causes confusion as to whether or not a battery pack is significantly out of balance or not.
source:
https://www.orionbms.com/general/pre-balancing-cells/
There is also a lot more in other reference materials related to this entire issue of reading voltages & determining SOC and what your getting in real terms.
I hope some of this helps.
Steve