Earlier quoted context omitted.
That's a non-proliferation issue more than anything else.
Let the nuclear powers build the reactors and design the ships to slide them in like big batteries then IMHO. There can't be more than a few thousand cargo ships in the world--it's a risk that could be managed.
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.