If the term refers to a bunch of disparate phenomena united only by the fact that they relate to nuclear phenomena at low energy, then all of these questions are meaningless in the aggregate and one should only ask questions about specific manifestations (e.g. the Fleischmann-Pons experiment).
Not at all. No other branch of science demands 'one should only ask questions about specific manifestations'. That is merely pedantry. For example, Heliophysics is about more than one star.