One could argue that batteries will have a bigger impact than solar. Batteries obviously let you decouple power generation and consumption, shifting anytime production to peak-time demand.
Less obvious is that local demand can fluctuate 2x. It usually dips mid-day and peaks 5-9pm (see the charts at www.caiso.com) when people come home and turn on their lights, oven, appliances, etc. This pattern happens throughout the year.
So forget solar for a moment; the ability to shift energy that was produced mid-day (even by a natural gas plant) to the evening would allow you to build fewer power plants. Nuclear + batteries might also be a good combination. Batteries get you closer to being able to solve for "average demand" rather than "peak demand."
This has nothing to do w/ California. California is just on the leading edge of battery installation. Solar just exacerbates the issue of the peak-to-trough ratio (evening vs. mid-day demand) due to mid-day solar "overproduction" causing it to be uneconomical to run gas plants mid-day. But solving for "peak demand" is still a problem in the absence of solar.
Still: most of the complaints about solar are answered when paired with large battery systems.