From your site: "For homes with electricity prices that vary throughout the day, Pila optimizes charging to help manage your utility bills." Based on experiments like https://www.youtube.com/watch?v=jtNq-0kV8YM , I'm extremely skeptical. Can you back this claim? Also, why are people going to spend $1,300 on this when a good UPS is a fraction of the price, and (for example) an Anker SOLIX F3800 Plus is $3,200?
Batteries can provide significant savings but for that you need to actually use them fully, either by load-shifting significant loads (if you have enough to fully consume the battery capacity), or just charging/discharging the battery directly into the grid (essentially acting like a grid storage system - charging the battery to full when energy is the cheapest, and dumping it back when it's the most profitable). Even better when you have solar - instead of selling that energy at low feed-in prices, save it in batteries and use it once the sun goes down so (if you have enough battery capacity) you never ever need to actually "buy" any energy from the grid.
I believe the Pila can technically do the above, although its battery capacity is probably too small to ever recoup its purchase price on this type of arbitrage. However, the underlying concept is absolutely workable and profitable with the right equipment.