We're power pigs at this house due to all the DVRs, computers, etc, something like 33kWh per day based on the month's total consumption.
With some extensive re-wiring of the power panel to move high-load devices (AC, washer/dryer, dishwasher, possibly even the gas furnace blower motor) to another panel, the 10kW unit MIGHT be useful to keep the fridge and lights going during a short-term power outage. Sadly I think the computers would have to get shut off to even get 12 hours out of it.
With the rewiring necessary, I'm not sure it's even cost competitive with a natural gas generator. 16kW units with automatic transfer switches are around $3600 and will run the entire house, including high power stuff, indefinitely.
Where I live, it's all kind of moot. I can count on one hand the number of outages we've had in the last 16 years on one hand and only one was long enough to even justify a trip to the dry ice store to keep the fridge from melting.
If it was even remotely more common (1-2 times per year, 24 hours) one of the Honda suitcase generators would probably be more effective just to keep the fridge going or maybe the gas furnace blower. Beyond that level of frequency or duration I think a natural gas generator would be useful.