What insight would be gained from such a definition?
It isn't a definition; it was an attempt at unification. Clearly there is less similarity than I had expected. It is clear from the postings that: The neutron stars are never stable in the sense in which a nucleus is stable. They are constantly changing atomic number and atomic weight by amounts that are tiny fractions of the number of baryons in the start but could easily be greater than Avagadro's number. Even at the same nuber, their internal states keep wiggling around. The structure is far from uniform; I had not known about the iron crust.* Even my capacity for whimsey quailed at the notion of neutron-star chemistry. Even if you found a pair of neutron stars in close orbit and sharing a cloud of electrons, calling that a molicule would be a stratch. Whit * Whereas the Earth has an iron core. Hmm.