Absolutely! But:
Nuclear was approximately as cheap as the equivalent LiIon storage a few years ago, but the batteries are getting cheaper and the reactors are not.
There are also other chemistries, and other storage options, which I'd include under the banner of "no perfect solution, so let's do everything".
> You'd need multiple weeks worth of battery capacity to really run on renewables.
I have no idea why this meme propagates. How many people live where there is no sunlight for multiple weeks at a time? And it's not like we don't already have some long distance power lines.
PV is so absurdly cheap that overproduction is seriously not a bad solution if you're just concerned about cloudy weeks.
A year is probably more than is needed, but I don't know how low storage can go before it causes problems. If I guess a week is sufficient then every million German residents need a 43m cube.
This isn't unbuildable if there is sufficient political will.
Grid-scale storage (apart from hydro, but that's basically maxed out or unsuitable for most geographies) is still an unsolved problem for renewables, even the largest lithium-battery ones are basically a rounding error. You'd need multiple weeks worth of battery capacity to really run on renewables. Not even sure if there's enough lithium to make this work theoretically with current tech.
> On nuclear: The cost of nuclear power is wildly underestimated
Same is true for every other power source as well. Energy storage for renewables is never included, so you need backups, the €100 billion German defence package announced a few months ago is a direct consequence of "cheap" Russian gas, the millions of people suffering/dying from air pollution related issues from using coal.
There's no perfect solution, but nuclear is definitely a strong contender for the best way forward.