I'm not sure if I would classify that as a home battery, but it does indeed seem much more reasonably priced. I don't know if I can find a local installer selling this or anything else in the same price/kWh category.
With inverters and solar panels I don't have this problem.
They are literally used as home batteries for many people that currently live off-grid. Yes, you would need an inverter as well. Just like you would for any kind of device to store 120V/240V AC power as 12/24/48V DC power. (Both that site I linked to and the other poster have lots and lots of inverters that can be tied to grid, and solar, and carey enough power to run your entire home for < $2k
I wouldn't call off-grid a typical home situation either, it's just something that is not done here. I mean I can go to any local installer and get solar panels and inverters that are reasonably priced, but with batteries that's just not the case.
https://signaturesolar.com/eg4-lifepower4-lithium-batteries-...