Let’s be clear here......The inverter ground lug is to ground the AC side of the inverter, NOT the DC side, now we are in NEC territory......the reason is so that the AC side is referenced to ground.....the DC side of the inverter is already at ground by the negative cable going to the negative post of the battery.....it should not be frame grounded, it (the DC input) of the inverter should go to the battery negative post of the battery which feeds the inverter. The inverter ground lug wires to the AC output of the inverter and the ground lug on the output connector or cabling to a distribution box (breaker panel) and should go to the frame rail closest to the inverter. This is where the NEC comes in, it is to protect YOU, not the inverter. ABYC can be referenced but ABYC does not relate to vehicles it relates to Boats and Yachts (American Boat and Yacht Club). The proper reference for vehicles is the SAE. Society of Automotive Engineers.
Bottom line in a vehicle that has both DC for the vehicle and AC for other needs, not for the vehicle:
Below 48 volts.....SAE rules apply
over 48 volts........NEC rules apply
ABYC is way more conservative than SAE so it if safe to refer to ABYC for a vehicle,
it is not safe to use SAE for an ABYC situation
standards......
14 ga wire in a house..NEC....15 amps maximum if the load is less than 2 hours, if more than 2 hours down rate to 80%
14 ga wire in vehicle....SAE......45 amps!
In any case the AC side is to be “bonded” to ground at one place and one place only, it could be grounded at the inverter or in the distribution box but not both, circulating currents are the reason for this, it would repeatedly trip GFCI’s if circulating currents were to occur.