A/C is interesting because it has something of a built-in capacity system. "Super" cool the building during times of the day when power is readily available, and that cooling then persists. You don't have to store the electrical power specifically.
Precooling or supercooling can maybe help a bit in a few areas but it won't make a huge difference in terms of solar power for AC. Most buildings don't have the thermal mass or insulation to gain much benefit. And you can't cool buildings below about 65 °F / 18 °C or else the occupants complain.