Did you find out what the cause of this was or since this post did manage to resolve this phantom draw? I have the same issue currently, on 2 inverters not the same brand as you mentioned but both LIPO's are at 100% both inverters say they fully charged yet on the AC-IN I have about 1KW + the AC-OUT load constantly. Both inverters also say they are in bypass mode as seen on the display so using the data presented to us on the inverter screen you would think the AC-IN side would be equal to (+ I would assume a few W for the inverter) the AC-OUT. I used a amp meter on the AC In / Out cables to verify, you can also clamp both the AC in and out lines together and see the phantom draw or what would be the draw to charge.
I set one of my inverters to Battery first mode while trying to figure out if this is caused by a setting somewhere and heard a relay then saw the AC-IN drop to 0 as you would assume since then you running on battery not AC. Problem is in this mode you are cycling the LIPO's but this seems to eliminate the constant phantom draw because it charges up to the limits set in the settings and flips back to battery discharge. So you don't get the extra draw while your LIPO's are full but you cycling the cells. Its the only way I could get around the phantom 1KW draw all day. Setting the upper and lower voltage limits will avoid cycling the cells to deep while maintaining a good enough charge to make it through LS but this is not ideal.
I hope you could shed some light on your finding since this post or perhaps anyone else out there.