Bullshit. Why does "Xi Jingping" let nuclear submarines be built then? Not to mention that all Chinese civilian nuclear power plants built thus far are located close to the shore. This way they do not need to build cooling towers which makes the power plants cheaper and faster to build.
Apologies for the typo.
I'd also point out that I wrote "I heard rumors". There is no need for such a personally aggressive tone in your response.
In any case, submarines are somewhat different to surface vessels because debris dispersal in a submarine's destruction is not the same as debris dispersal in a surface vessel's destruction, and also due to differences in convection of particulate debris at depth and at surface.
Civilian nuclear power plants being destroyed would open a can of worms that are wholly unrelated to a carrier being sunk. I don't think nuclear contamination of the oceans would be the primary concern once it is all said and done if that happens.
In summary, the examples provided do not fully translate to a destruction of a nuclear-powered surface vessel close to shore.