Are the cables equal length? Or connected in an arrangement that allows equal charging and discharging?
It’s true in parallel that they should self balance but remember that if you are discharging the batteries, the one with the longest length cable gets discharged the least. And even with charging, one will charge up quicker than the other and the inverter will stop charging the bank.
I am coming from a LA background though. So not sure if the comms from the bms to inverter takes care of whoch batteries has its charge stopped and which one won’t.
Will powess did a video using lithium batteries and he showed that this phenomenon in a big problem also for multiple batteries in parallel with lithium also.