Hey Hook, I made an account just to find out if there was anyone else having the same issue with the battery going dormant in the early hours.
I see this very rarely, maybe once a month for 1, sometimes 2 consecutive mornings. When I saw your post, I reviewed my data with the grid voltage visible, and I can now see that my battery drop outs align with either an unusually high spike or trough in the grid voltage. The battery output is only ever affected when the load on the house is very low, so we don't see it here until we've gone to bed and the house is ticking over, so from midnight until about 7AM. I'm happy now that this seems to be environmental, rather than any fault of the system.