Had something similar happen on the narrowboat last winter, and it was a right nightmare to diagnose. Battery management system dropped offline whilst I was running the heating, and the Multiplus just went into low battery mode without warning. One moment I'm watching the telly, next thing the inverter's shut down.
Turned out my BMS connection had corroded where it meets the Lynx Distributor — not immediately obvious because the data line was still physically there. The Multiplus was still seeing voltage, but couldn't communicate with the battery pack to understand state of charge, so it panicked and cut out.
What I found helpful:
Check the obvious bits first. All your DC connections clean and tight? I mean really tight. The signal line to your BMS is tiny compared to the power cables, easy to overlook.
Look at your CerboGX logs. If you've got one, it'll show you exactly when the BMS went silent and what the Multiplus saw in that moment. Mine showed the connection dropping intermittently over about an hour before a complete fail.
Test your battery voltage directly against what the BMS is reporting. If there's daylight between the two, you've found your problem.
I ended up replacing the entire connection block on my Lynx — wasn't worth messing about with corrosion. Running four 200Ah cells like you are, you need that communication rock solid. The Multiplus can't be expected to make sensible decisions flying blind.
Has anyone else seen this on a shore-power setup? I'm curious whether it's a particular failure mode with mixed AC/DC systems.