Most residential solar sets in California lack battery backup capacity and do not generate power in the absence of grid power "for safety". This is because most homeowners are uninformed consumers and don't know what options they need.
The only trouble is that gives no indication when the power comes back on. So there you are, generator blasting away, while power is restored. Leave a couple circuits always connected to the line power, and hook those to a radio or a light so you know when the line is back up.
P.S. if you get a generator with an electric starter, odds are good the battery will be dead. The trick is to add a couple power posts to it, so you can jump start it with your car.
But you can, in fact, see when utility power comes back on if you have a "smart meter" - the LCD panel readout is dead/blank during the outage but is active and displaying once the power comes back on.
So we just peek at the meter every once in a while to see if PG&E is back ...
People can "panic buy" generators, and have been doing so for a while. With solar panels on the roof for when the sun is available and some alternative source like your generator (cheap to buy, expensive to use) or batteries (expensive to buy, cheap to use) for when it is not and power has failed you can be mostly energy independent.