BUT, when I was involved in a demand side management study, your generating electricity when the utility needs it and it co-insides with the air conditioning load.
So your not home in the day time and your generating electricity for everyone using air conditioning.
In the evening, you have cooking and AC loads from the people coming home from work. The large consumers of AC hopefully are lowering their demand because the businesses are unoccupied.
One of the other things we looked at was to just use an unaided element in a water heater to heat hot water. That was favorable too. Agreed, it was just taking a solar panel and feeding it to a heating element with no inverter being used at all. Probably not practical.
If you had electric hot water, you could maximize your use of solar radiation if, for instance after you took your shower and headed to work, turn off the hot water heater until your panels are producing electricity. Allow the water heater to come on with normal mains before you get home.
One way that really helps your cause, is to get on a peak billing system. This is really what the utility would like. e.g. A good portion of your bill might be tied to the maximum electricity that you used in say a 15 minute period. So, now your forced to play games like wash dishes and use the washing machine when you and everyone else is asleep