Battery stops feeding house at high SOC

I have noticed for two days running now that our batteries, despite having SOCs of over 35%, and voltages well above the cut-out figure, stopped feeding the house load around 6am. This despite being set to "Eco" all the time. In the past the batteries have continued to supply the house load until the solar picked up in the morning and started to recharge them.
Now at that time, the house load drops to below 200W as I have made some adjustments to standby settings etc. Is there a minimum house load below which the inverter stops feeding?

No step changes in SOC, so I don't think that is the issue.

wilfleek I can't remember which inverters you have but mine are HY5s and with a background house load of 200W-400W the inverters are both supplying continuously overnight at <10W to 300W. The outputs do vary for every 5-minute logged time between these values but are sharing the load and at very low logged values.

Panic over - now that I have had a look at the graph on larger screen, I think it is the Solar generation is kicking in around 6am and thus reducing drain from the batteries over a half hour or so. I was looking at the power graph earlier on an ipad, and the screen was simply not large enough to be able to discern what was happening with very low wattages.

Not used to these light mornings!