Nice to hear from you.
What amps is your LG 2 ton inverter drawing and at what set temperature in afternoon.
The hybrid inverters of Goodwe and Huawei, I checked long ago. Although not so expensive they clearly mention that in case of no grid but max sun and battery connected the heavy load (acs motor etc) will not be powered. Only essential load will be powered like fans lights etc..this is also in goodwe 10kw official video where it explain what happens in day(sun) with grid off and batteries connected. It says pv plus battery come into play but will only run essential load and not heavy load (acs arent supported)
This makes me wonder why only local hybrids are running acs and other heavy load when big brands clearly mention that heavy load won't be supported and they name acs under heavy load. The whole point is that big brands prove that hybrid inverters are not designed to run heavy load without grid. They cannot supply heavy load just off pv panels.
Secondly I dont think it has to do with rich or poor country. The reason for that is there are outages in the USA, if you look at YouTube countless customers in USA want batteries for their solar due to outages/failures but cannot buy since batteries are very exp in USA so they go for on grid only.
The other thing I want to say is that in order for solar inverter to run it needs a reference voltage which it gets when the grid is on through the grid. If there was no reference voltage the hybrid would not provide the 220V voltage and would fry everything. When batteries are connected the Hybrid inverter takes it's reference voltage and frequency from batteries when the grid is out.
Also you may want to look at inverex Nitrox 12KW. It supports panels upto 15600kw so you can be safe for future upgrades should you want to go above 10kw.
This is the maximum hybrid I've seen in size. Also if you have 10,000kw panels you will get max 8000kw output. There's a 20% loss which is why you'll see inverters that are rated 10kw allow panels upto 12-13kw