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wikipedia://ion says:

An ion is an atom or molecule in which the total number of electrons is not equal to the total number of protons…

The H+ ion (i.e. proton) is an instance of atom under this definition, as are all ions.

And wikipedia://atom says "The atom is a basic unit of matter that consists of a dense, central nucleus surrounded by a cloud of negatively charged electrons." If you're going by quoted Wikipedia definitions then H+ isn't an atom, so therefore it isn't an ion.

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