I think it's good to start by looking at the overall framework of the 7xx chapters (this from the 2023 code):
700 Emergency Systems
701 Legally Required Standby Systems
702 Optional Standby Systems
705 Interconnected Electric Power Production Sources
706 Energy Storage Systems
708 Critical Operations Power Systems
710 Stand-Alone Systems
2023 70
2.1 "...applies to the installation and operation of optional
standby systems."
2023 70
6.1 "... to store and provide energy during
normal operating conditions."
The words that jump to me are: standby vs normal. Standby means occasionally. Normal means every day.
The Enphase power is
normal, thus 705. Enphase systems are not used occasionally, thus it's not standby, i.e. not 701 nor 702.
The Tesla batteries power is
normal, thus 705 and 706. Tesla batteries are not used occasionally, thus it's also not 701 nor 702.
Anyone who knows anything about the Tesla batteries and the Enphase products knows that these are most definitley NOT "standby systems". Not at all! Rather these both constantly are able to slosh energy into and out of your system on a moment to moment basis depending on need. So therefore 706 applies and 702 is for older, simpler standby systems. So the only thing that can be said is that your inspector doesn't know very much about ESS nor Interconnected systems. I'd say stick to your guns, and say to this inspector, "would it be crazy to ask for them to read up on these newer systems and then take another look at this?"