This is great news, even with the caveats (mid-day, etc.). There's some interesting nuance though.
If you look at the ISO's supply page (https://www.caiso.com/TodaysOutlook/Pages/supply.html) you may note that nuclear trundles along on a flat line at about 1500 MW, and natural gas at 1500-1800 MW. Those are steam and combined-cycle plants that are difficult to ramp the output of quickly, and if shut off (such as in an emergency like a blackout) can take days to bring fully back on line. So they keep running. At the time I write this (0935 PDT, 22 May 2024), batteries are sucking 2600 MW and exports just under 200 MW. Renewables are supplying about 20000 MW. So (once in the wires the electrons don't remember what put them there) you could say that the batteries are being charged by the nuke and gas plants as much as by the renewables. Not mentioned in the charts, of course, is pumped storage, but there is some of that in CA too, and it's certainly being used to manage things too.
Over time, those gas and nuke plants will slowly go away, and the fact that they only support 20% or less of the total demand during the day is a hopeful sign. But when looking at today's numbers it's worth keeping their presence in the back of the mind.
Another bit of nuance: CalISO isn't the only balancing authority in the state, though it is of course the biggest. There are a bunch of smaller ones, including many of the municipal and irrigation districts (and groups of them). That "imports" number is not just power sent to or brought in from other states; it is also power sent to/from other balancing authorities. They're all connected to the same grid, and they work together. But from an accounting standpoint the transactions between them are considered imports and exports. So some (when the numbers are small, probably most) of those ISO-reported "imports" are within the state.
The batteries are already saving our bacon. They suck up excess production during the day and reduce the effective ramp rate in the evening making it easier to manage. We need more of them.
BTW many of the interconnection arrangements for rooftop solar, now that net metering is going away, require a battery to be part of the system - a cost issue that will prevent installation of a lot of smaller setups that used to be practical with net metering, but a benefit from a system management standpoint. Also, of course, allowing energy cost arbitrage. When will we get commodity LFP batteries made locally (i.e. not entirely from China), at reasonable prices, to make that safer and more cost-effective?