I think other folks are saying this but the navy solved this problem decades ago.
If that’d be the case then such small nuclear reactors would be powering US military bases and outposts all over the planet.
This ain’t a thing for a myriad of reasons, starting from cooling (not much ocean in the middle of the east), to profileration risks (navy designs using weapons grade uranium).
USN at the same time considered PADs to be undue slowdown in the same mission and had enough power to just not have them mounted, afaik.