It's not at all nonsensical, read what I laid out and the reasoning. Running a 10Kw generator at 3-4Kw most of the time (Since most AIO, or atleast mine, can't modify charge depending on load, some of the Victrons CAN do that) so that there's enough overhead for all potential loads + some surge is a really really really terrible use of a more more expensive generator I would have to BUY. This would also need to be a high quality inverter generator, which would be louder, heavier, and use more fuel.Correct. The OP wants to use a generator to charge the batteries and also use the batteries to invert to AC.
It is nonsensical as any excess power from the generator could just have gone directly to AC and not through (or to) the batteries to be inverted.
Meanwhile with a AC-DC power supply I can tune for fuel efficiency, use the existing generator I have, connect to the dirtiest AC power that will still turn the power supply on if I had to, for way WAY cheaper than buying a new generator. If money was no object I'd have 1MWh of battery capacity and panels on literally every surface to ride out dark days rather than ever have to deal with a generator
