Thanks for the schematic.
Interesting how this pictorial (upper one) from the Amazon link for the TS-30 shows the converter being disconnected from the power center (a/c panel) and reconnected to the TS-30. The lower pictorial also shows a charger (converter) connected to the TS-30.
If the TS-30 doesn't remove power from the converter when the inverter is active, one has to wonder what the purpose is for connecting the converter's a/c input to the TS-30.
In any case, if it doesn't disconnect the converter I'll be a bit disappointed, but may still use it as-is.