That's just an engineering problem, and one easily (comparatively speaking) solved by applying the lessons learned with other nuclear-powered craft. The other problems with the concept were far more damning.
From the publics point of view, the dumping radioactive water would probably be the most damning. From a business perspective, you are correct, the other problems listed[1] are the true problems.
1) timing wise, wow, hitting just before containers is just bad luck
