They don't always overlap well -- certainly, not exactly. Thermal lag is a thing, and it is promoted by increases in both insulation and mass.

As an example of thermal lag: My present home doesn't have aircon upstairs. I've got a room with a west-facing window up there, and I just happen to chart temperatures in that room.

The daily temperature peaks in that room during the warmer months tend to happen at night -- sometimes, as late as midnight. The daily temperature minimums tend to happen around noon.

This suggests that solar power is least-useful for that particular room when solar availability is greatest. It doesn't overlap very well at all.

(I'm still looking into installing fairly modest solar rig, though, just to help offset my own baseload when I can and maybe make extended power outages more survivable.)