Correct me if I am wrong, it estimates 12,000$ for a single day of energy backup of your home? For 12,000$ I dont mind staying one day without electricity.
The funny thing about solar... it's not constant. Half the day is night... then clouds/rain/etc. 24/hours of electricity is for those dry periods.
Where I live, nobody would do that - due to cost. More popular solutions are natural gas or water heat pumps.
My parents in Australia have almost paid back their 10Kw system, in less than 5 years.
You can have multiple days. But normally you would use this to arbitrage electricity prices, especially if you don't have net metering.