With time being relative, nuclear might become irrelevant, though that's very far off into the future. It's very important to have stable baseline power generation that you can depend on, and not the whims of the weather. Wind turbines don't do constant production even off-shore, as there are periods where it's either too windy or not windy enough so they can't work, even though it's more rare than on-shore wind.
We don't need stable baseline power generation, we need a stable power line frequency. I know there are grid engineers here that could explain it better than me, but FWIW, nuclear power plants are sloooow, and thus terrible at reacting to fluctuations in the line frequency. Even if there are nuclear power plants, you use hydro-, gas-, or (hypothetically) battery-power in so called dispatch power plants to maintain the frequency.
Add on top the insane costs of building, maintaining, and waste disposal, nuclear power plants are, without subventions, just not economically viable. But keep on researching, there is interesting stuff happening in this space, and -- who knows -- maybe something moves the equation around.
