EDIT: For those interested, here is some great reading on the history and state of marine nuclear propulsion. https://world-nuclear.org/information-library/non-power-nucl...
No doubt that fossil fuels present an attractive option with their energy density and relative simplicity insofar as shipping in more temperate zones is concerned. Seems to get back to the question of incentives - short of artificially increasing the immediate cost of fossil fuels (and all downstream containerized goods) it may be challenging to adopt nuclear or renewables in the global shipping industry.
- 1 active nuclear-powered Kirov-class battlecruiser. 1 under refit. 2 retired.
- 1 nuclear-powered cargo ship (Sevmorput).
- 5 nuclear-powered icebreakers. Russians have over 400 reactor-years of operating experience with icebreakers. Starting with Lenin 1957.
- Not to mention submarines.
The reason why Russian carrier Admiral Kuznetsov is not nuclear-powered has nothing to do with ability. The carrier design was not good to begin with and then Soviet Union collapsed.
Compare that to the threat environment at sea, plus the logistical difficulties of carrying around that much security. I doubt the Navy can spare a battle group to escort each container ship.