In my understanding the assistant should be running all devices the same as ess assistant would be.
You could probably adjust your OVP protection on the jk bms to tame its sensitivity.
The other way is to adjust the grid charge amps on the inverters so they can’t charge the bank as fast from AC.
Works with the ess assistant and if the ac pv has comms and modbus control with the GX. It has worked with fronius for ages.
Enphase is still in testing.