The six throws of the hand rules is per service. IMO, hybrid systems are a combination of multiple services in which typically only one is providing power to a building at one time. I agree its an ahj question however despite a few of my systems with multiple power sources, the main power supply can be disconnected with the throw of only one or two handles.
For example, my last AE system had 7 strings of panels. Although they combine to a single breaker, I would not count that as one of the six throws because my inverter does not run off the panels. They run off from the battery bank and still puts out 120/240. With grid ties, that's is a little different. It's a case by case basis. The inverter dc input breaker or the inverter AC out breaker would count only as one throw to the whole system providing no other system could power the system like a back up generator
