Question Batteries to inverter connection

unless you have your inverters running different/isolated sub-panels I would think the way to do it would be to combine all batteries to a bus bar or something and then bring cables off the bus bar( equal lengths for every cable ) up to the inverters.  Setup like this then all your batteries are working together and used together, likewise your inverters pull from the same battery "bank".

Not a "solar" expert, just an old software and hardware engineer.

As long as your wiring matches the configuration shown in the manual, you can place the batteries wherever you prefer. However, the ideal setup is the one recommended in the manual.