Micro Inverter to output of EG4 6000 -removed link- battery

Question for an EG4 engineer:

Can I connect the output of a Micro Inverter to the Critical Load sub-panel that is connected directly to the Load Side of the EG4 6000XP. I believe that it would work the same way as with grid power where the load uses the micro inverter output and what ever the micro inverter does not supply, will be supplied by the EG4. I am in the process of connecting the 120/240vac output of the Micro Inverter to the compressor side of my HVAC. This connection keeps the 2000 watt max output of the micro inverter from feeding back to the grid, as it is less than the HVAC load. As soon as the contactor switches to off (thermostat controlled) the connection to the grid power is opened. Your thoughts