Whoops. I got it wrong, sorry. If we follow Victron's recommendations (4.8 kWh backup for 1.5 kWp generation) than for 6 kWp the LiIon backup (AC-coupled) would be pretty exactly 20 kWh. So your numbers are perfectly balanced.
The problem with just scaling up is that in winter months I can easily see 1/20th to 1/40th of PV nameplate during daytime, and such conditions can persist for more than a month. So without the grid as a backup the only option is diesel generation backup, or going entirely without any major power drain.
For low-consumer countries in the tropics the equation is much easier, since they're consuming less than Westerners in general.