Again, that's only if you don't put power onto the grid. Putting power onto the grid means, among other things, that you have to set your inverter to automatically shut off whenever grid power goes down (to protect the linemen).
I don't put power onto the grid, therefore, if today's storm knocks out my power my lights will be on (because I currently have 58% charge in my batteries, which means over 34kWh of power my inverters will draw from batteries in a grid down mode to not let the charge level get below 20%). And since my two inverters together put out 16kW at a time (when in off-grid mode, but they put out 18kW when the grid power is up), virtually all of my circuits are on the "critical load" panel. Basically, almost my entire house can be powered when the grid is down, including the appliances. Just not all on at the same time (I can't exceed 16kW, so I can't charge my EV at full speed while in the hot tub with the jets on high while the clothes dryer is on high, etc.) Nor can I do it all day and night (eventually I'd run out of the 34kWh in batteries before the sun comes up tomorrow). But in a power grid down situation, it gives me the flexibility to choose which appliances are important at that moment (i.e. right now the temperature is moderate, so I can shut off my variable speed heat pump if I want to, likewise my hybrid water heater can stay in efficiency mode since I don't have company over needing the water tank reheated quickly, etc.). We're in the habit of doing that anyway, because when the grid is up, if we exceed the 18kW that the inverters can provide at any moment, the inverters pull the excess from the grid.
That's similar to a 'whole house generator' - where you have to pick and choose what you're going to run. The advantage your system has is flexibility - you're moving things around in real time. I'm impressed Tell it Right. Sell the total concept to an honest company and become the next billionaire.
You have a much more advanced system than ours. But we live in the foothills and have frequent windstorms which knock out our power. Most of the time it comes back on the same day, but occasionally it will be off for a week or more. All of our neighbors have generators. Fortunately, we have natural gas to the house, and I converted our generator to use it years ago.
So, it is still a similar situation for us. When the power goes out we have to limit how many high wattage devices that we use at the same time and we also have to pay attention to which side of the 240v circuit that they are running on. We have metering that allows us to monitor this.
We are so used to the routine that we do not have to think about our usage very much. Typically, if someone turns on a toaster, microwave, or hair dryer that are on a side of the circuit that is already close to the limit... the generator starts to bog down and we turn the offending device off and then go turn off something else before starting it back up again. Occasionally, a breaker will flip which is a little more inconvenient.
Some of our neighbors who have the approximately the same load that we do are using generators twice as large as ours. This means that they can get away with a more asymmetric load than we can, but it also means that their gas usage is typically 50% or more greater than ours during a power outage. This hardly matters during an outage that doesn't last very long, but if you are using a generator for a couple weeks it can add up to quite a bit more consumption.