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.