Security and piracy would be a new challenge, but I still think it's worth it to avoid all the current killer air pollution and COâ‚‚ emission. You could make the core basically inaccessible except when in an outfitted maintenance shipyard and have a priority mobile security force to respond to such incidents. The ships should be designed to have a fail-safe sink function where it sinks and maintains the core integrity using seawater convection until a designed salvage operation can occur.
I, for one, cannot wait until Somalian pirates become nuclear-armed crime syndicates. I've always wanted to live in the worst bits of cyberpunk dystopias.