According to the wikipedia page for Parametric Polymorphism:
Some implementations of type polymorphism are superficially similar to parametric polymorphis
The article you linked to explains that. The very text you quoted actually gives one example of something that sets C++'s templates apart from pure parametric polymorphism: C++ template specialisation.
It continues on this theme:
Following Christopher Strachey,[2] parametric polymorphism may be contrasted with ad hoc polymorphism, in which a single polymorphic function can have a number of distinct and potentially heterogeneous implementations depending on the type of argument(s) to which it is applied. Thus, ad hoc polymorphism can generally only support a limited number of such distinct types, since a separate implementation has to be provided for each type.
Thus, as described, C++ templates come close to — but are not exactly — parametric polymorphism.