1. After the evening commute in the early hours of the night, people are still awake at home using energy.
2. Homes are less efficient than offices + schools for many reasons (human density is generally more power efficient than everyone being spread out and not sharing resources), so demand goes up.
3. And that demand goes up precisely as supply — due to sunset — goes down.
In that light, EVs are actually great for energy storage, assuming you get appropriate compensation from the utility companies for the cost of battery degradation — which also could be in the form of "demand pricing" where it's cheaper if you don't draw power from the grid at certain times. They are available for use right when there's a supply problem: early in the night. And then you could schedule them to recharge when demand drops late at night and the grid has excess power... Or, as more charging infrastructure gets built, you could also charge while at work and the sun is up.
In some places there might be parts of the year where you still face a supply issue with solar: if the sun regularly sets before 5pm for part of the year, you'll still face some supply issues (although at least only when people are crowded in offices and schools, so demand is lower).
California has hourly graphing of electricity demand vs supply, which is quite useful: https://www.caiso.com/TodaysOutlook/Pages/default.aspx You'll notice that while demand begins to climb at around 4pm, it's still fairly low at 5pm, and really only peaks at 7:30-8pm. By midnight demand has bottomed out again, which is a great time to have your car schedule charging time, leaving you with plenty of juice for the morning commute — a standard US dryer outlet will charge a Model 3 at about 30 miles per hour; assuming you leave at 8am that's 240 miles of range, so even if you ran it to zero — and probably you should not do that and only run it to 20%! — just about anyone would be be to make it into their workplace, since the average American round-trip commute distance is less than 50 miles.