Several have been built and people have generally gone "huh, thats cool but it's way too expensive".
Thats the main reason why theres currently only 1 in the whole world.
[0] https://www.npr.org/2023/06/23/1182973358/step-aboard-the-nu...
https://en.wikipedia.org/wiki/Nuclear_marine_propulsion#Civi... comments the major issue is the costs of specialized infrastructure, and points out how research about a modern design concluded "further maturity of nuclear technology and the development and harmonisation of the regulatory framework would be necessary before the concept would be viable."
Nuclear in civilian hands is an absolute no-go for proliferation / terrorism concerns.
https://www.cnn.com/2023/08/22/travel/wind-powered-cargo-shi...
1. Kites attached by cable (deployed, high altitude for consistent winds)
2. Magnus effect cylindrical turbines that rise out of the ship.
Though that was because it was badly mismanaged and the technology wasn't there yet.
Nuclear power plants are much more expensive, and require a much higher (and more expensive) level of labor. These fixed costs are not reduced when full power is not needed.
Put your reactors on land, when the grid has too much power you direct it to something like this (or the hydrogen generator that showed up here a few days ago) and convert it to chemical energy.