Doubtful. Please post a link to the source of this information.
As I described above, it's a NET arrangement, they aren't actually shutting down other sources. For example, when Ontario's entire nuclear fleet is online, we have 13GW of baseload nuclear. Spring/Fall demand can be 10GW or less. Ergo, during those periods, it's possible for the Ontario grid to be described as "entirely powered by nuclear", while we would be exporting the living heck out of everything else.
We generally avoid having the whole fleet online during the spring/fall for that reason, that's where maintenance outages are scheduled for, getting us down to 9 or 10GW, tempering exports to more reasonable levels, though they still get pretty high, as can be seen in my screenshot.
So, in a place with lots of sun like California, yeah, if you install more nameplate solar than you have demand for several hours in the spring, you are going to have the same scenario, except that this is only for those hours where solar is most productive, as other sources have to fill-in during the morning, evening and overnight. This is visible in the "humps" in the Electricity Maps graph I posted.