Since I don't have a Schneider compatible Battery/BMS, our system is voltage control only so no first hand experience with SoC. I do have some observations that may be of use.
1) BMS Status Page: Shows Maximum Charge as 30A which is consistent with a single 100Ah battery but you have 6. Maximum Discharge is 600A which is consistent with 6 batteries. Not sure if these values would override the Inverter Charger settings which I believe you had at 100% (140A) See Comment on 2) below. Schneider has what I consider poor and incomplete documentation about the specifics of what imported BMS values actually do and what priority is given to Battery Voltage vs. SoC values regarding how the system operates.
2) Since your system is DC coupled, off-grid. Charger Settings are not relevant unless the generator is running and there is available power at AC1 or AC2. Although they should be set correctly so when the Gen starts, things work as desired. I would leave Recharge SoC at 50%, its a good starting point. Change it later if needed.
3) Battery Capacity: Shows as 600Ah, did you set this manually or did this come from the BMS? I'm not sure of all the ways the BMS may or may not integrate into the Schneider environment. Hopefully someone else can fill in some blanks here.
4) AC Couple: Is Enabled, probably don't need that but don't believe it would cause any issues either way.
5) Aux Output Relay: Is set to trigger on Low Voltage. Is that for setting an alarm or Auto Gen start? Either way 47V is kind of low, doesn't give you any early warning.
One of the main complaints with BMS-SoC control has been poor accuracy of SoC but this is usually caused by long standby times where small parasitic loads are below the measurement threshold. Since your system is off-grid the batteries will be cycling more with larger average currents so you should find SoC control to be reliable. If this turns out not to be true, please let us know.