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You're not exactly wrong, nuclear is a terrible pairing with renewables for the reasons you listed, but it's still probably cheaper than batteries under extreme conditions, which is something we do have to deal with.
90% renewables is cheap, 99% is more expensive, 100% is really really expensive. Batteries are great for 24 hour storage, but storing energy for longer starts to become uneconomical and to hit 100% you have to buy enough capacity for the absolute worst case scenario. Anything that baseline nuclear cuts off from renewable demand is potentially cheaper than the theoretical worst case 1% of renewables (eg if there's no wind and it's cloudy mid-winter, how much solar/wind do you need to power the country, or how much battery do you need to maintain power for weeks under these conditions?).
Batteries are cheap and getting cheaper every day.
Solar + battery are already cheaper than every other option. Sodium batteries are getting close to lithium in energy density while using much cheaper materials that are easily attainable worldwide and they have almost zero chance of combustion.
That can all be true without contradicting what the comment above says.
This is all true, and if it continues maybe batteries will become cheap enough for 2 days of storage. But seasonal variation will always be beyond their grasp.
The funny thing is, every form of electricity production is better when coupled with batteries, even Nuclear. Because you can keep your power plants in the optimal production range.
That is exactly why I said that under current economic forces, building hydrogen-capable gas plants is the most cost-effective way of dealing with longer, but much rarer periods of low renewable energy output. They combine "low" standby costs and can be throttled within minutes.
Yes, hydrogen might turns out to be capable of that use case too.