1.5KW is not enough to run peak loads, but it is a reasonable average. That is over 1000KWH per month. Last month I used 574KWH of electricity to run my 1400sf condo and I can tell you I have more than “a few lights and a fridge”.
To run peak loads you would either need to be grid-tied or have a battery bank and an inverter. You’d use the 1.5KW generator to keep the battery pack trickle charging. A $2,000 battery pack and a $10,000 10KW off-grid inverter are not trivial expenses, so their claim of $100/KW for the generator doesn’t tell the whole story. If they could be ganged in parallel, a few dozen 1.5KW units for $2,000 - $3,000 would allow true off-grid living.
All of which I find hard to believe because I’ve been reading things about BlackLight Power for a decade and I still can’t go to Home Depot and buy one. They could sucking in venture capitalists though. Maybe they should change their name to “BlackHole for Money”.