It may be cheaper or more effective to increase efficiency rather than offset the efficiency cost with more energy. Plus you can do both!

Make the AC more efficient which means you could potentially run a smaller unit which means fewer solar panels.

It's wasteful, and that "free" energy could be used for more productive purposes.

And where are those?

Installed cost, I mean. Assume, like in most houses, none of the supporting electrical work has been done for solar already.

Where’s the dirt cheap home solar?

In much of the world, AC power demand peaks later in the day when solar power supply is minimal or zero. So pairing as you suggest would require a huge amount of storage capacity. Or in some places they could also use high voltage transmission lines to areas further to the west that are still receiving significant sunlight at that time.

Energy is only free at times when we don't actually need it.

Cooling storage? Generate a differential ahead of time?

The second law of thermodynamics would like a word...