One small problem
With one exception, the countries with experience building large bulk carriers are those that have no experience with building power reactors. Even if these things were to become a reality the ships wouldn't be built in the UK or the US - if we were lucky the reactors might be.
The only major shipbuilder that has tried nuclear shipping was Japan whose Mutsu first sailed nearly 20 years after the keel was laid and which became infamous when a radiation leak was sealed with a mixture of boiled rice and old socks. She was scrapped in 1992 after running up bills of more than a billion dollars and having done no useful work. The Otto Hahn from Germany was eventually converted to diesel power as she was uneconomic on nuke juice and the very beautiful NSS Savannah was decommissioned because she couldn't make money.
It'll be a brave company that sinks money into the quagmire of marine nuclear, especially now when shipping rates are very low and when there is a glut of cheap ships waiting for work. The whole things smells more like a company desperate for new outlets for its technology rather than any particular demand from users.