This is the key reason we are talking about nuclear, it is not simply about levelized cost.
It'd be really useful to understand how large a gap exists there - it's not something I'd claim to know about at all.
Here's a starter reading resource from the National Renewable Energy Lab in the US: https://www.nrel.gov/news/features/2020/declining-renewable-...
And some more reading material from OpenEI: https://openei.org/wiki/Solar+Storage
So you can either build 10x as many nuclear plants and run them at .1 capacity most of the time or build 5x as many and use some of the surplus energy to create stored power like hydrogen.
Doing either of those things with renewables will be massively cheaper than nuclear.
There doesn't seem to be anyone who is actually enthusiastic about nuclear, only people who are misinformed about renewables because their news sources have been trying to prop up fossil fuel interests for the last two decades.
The total levelized cost of energy (LCOE[1]) for both wind and solar is now lower than nuclear: it's cheaper to procure equivalent power production via non-nuclear means.
The UK's Business, Energy and Industry Strategy department published energy production cost estimates in 2016[2], and the Open Energy Information organization has collated similar statistics[3].
You're spot on that post-energy-generation storage remains a problem - I'd be really glad to hear if anyone in this thread has up-to-date knowledge of where we are with regards to that.
[1] - https://en.wikipedia.org/wiki/Levelized_cost_of_energy
[2] - https://assets.publishing.service.gov.uk/government/uploads/...
[3] - https://openei.org/apps/TCDB/