I found the AH savings by going to a small inverter for the small loads to be trivial.
The big inverter just doesn't pull that many more extra beyond the load's than the small one. In some cases it is the same. Don't forget that H in the AH. When you only turn on the inverter to run stuff and then turn it off, H stays low and so does AH.
The draw while left on but no load is not the same thing as the extra draw when running a load. Relative inverter efficiency is what counts while running the load.
It all comes down to such tiny amounts that the whole idea of using a second small inverter for the small loads is just not "worth it", and you can "keep it simple" by having just the one inverter that does it all. ( I have gone back to that)