'Ranb' wrote ---
Why use an extension cord when you can used on board fuel instead? Same reason a car on gasoline has a much higher range than one on batteries only. While nuclear powered subs are capable of connecting to a shore facility for their power needs when the reactor is shutdown in port, these power connections are far too inadequte for powering the sub while it is on its missions.
[1] You're assuming there is onboard fuel available. If the nuclear system works, then that's OK. If, as seems likely, it doesn't work, you have to recharge, either by going to a port or some other recharging point, or using some other method, typically diesel. But of course this needs air. AS FCS points out, if the thing has to come to shore frequently anyway, what's the evidence for or need for nuclear power?
[2] You make, maybe unconsciously, a very telling point when you talk about
when the reactor is shutdown in port. Why should it be shutdown; and, if it is, how can you be sure it ever worked?
[3] Definitive evidence would be, presumably, that the total non-nuclear power used by a 'nuclear sub' is nowhere enough to power it. Can you prove that?
[4.1]Have you ever checked the schematics or drawings of a nuclear sub, and checked the sub actually matches?
[4.2] Have you ever maintained or helped maintain or supervised the maintenance of the nuclear propulsion part(s) of a submarine? Or for that matter built, of helped build one?
[4.3] Have you followed the process, or taken part in decommissioning or scrapping nuclear submarines?You could have interesting information!