Exactly. And not even just in hobbyist space. There is a long-established history of running homes off of solar power using lead-acid batteries in professional installations. And not even just in homes; many, many businesses have invested in it. The only barrier is financing... and companies are even forming California to amortize the financing of solar to the home, so home owners can get started with ~$200/month instead of a $20k installation.
There, the possibility that a "Tesla" battery could do anything the same or better is not new, redundant and this article is just marketing hype: It's a report of an investor call, for crying out loud, not researched journalism. There is no reason to expect a lithium battery in the home would be cheaper than traditional, established lead-acid batteries.
The advantage of lithium in a car is obvious (weight, if you haven't had your coffee). In the home, weight is not a factor. Lithium would save space, but at the expense of lifetime and cost. Since cost is the only factor holding back installation now, I don't expect many people to pay even more for the privilege of a lithium home battery bank.
BTW, in reference to your expectation, a motors expert I work with says that 50% of all electricity consumed is consumed by motors. The refrigerator's compressor motor is generally the heaviest electricity consumer in the home.