When is deleting a template instantiation preferable to deleting a non-template overload?

Question

Suppose I have a template that works with raw pointers:

template
void processPointer(T* ptr);

I don\'t want this to be called

Answer 1

This might give insight:

#include 

struct X
{
    template
    void processPointer(T* ptr) {
        std::cout << "Template\n";
    }

    // error: explicit specialization in non-namespace scope ‘struct X’
    // template<>
    // void processPointer(void*) = delete;

    // Overload but no specialization
    // This will prevent lookup the specialization outside the class, when no
    // template argument is explicitly given.  However, with an explicit 
    // template argument the specialization is called.
    void processPointer(void*) = delete;
};

// Specialization outside the class body
template<>
void X::processPointer(void* ptr) {
    std::cout << "Specialization\n";
}

int main ()
{
    X x;
    //error: use of deleted function ‘void X::processPointer(void*)’
    //x.processPointer((void*)0);

    // Explicit template argument:
    x.processPointer((void*)0);
}

Conclusion: The answer of @Casey holds.