A case of the quiet part being spoken outloud. That's my beef with nuclear energy as well - why? Solar power clearly work, and best of all, it isn't centralized. Same with wind power. It even works in circumstances you might have to shut down nuclear power plants due to excessive heat. You even have to worry about the increasing load on the grid because they are easier to distribute. It needs energy storage, and there's no shortage of means for energy storage.
Nuclear power plants are going to be charging you the same as coal plants for energy as long as they are owned by market tycoons. Nuclear power plants make the best sense in an ideal world where society matters and there aren't people gaming the market. We do not live in an ideal world.