'using' declaration as SFINAE

Could I use SFINAE (or another technique) for using declaration while private deriving from template class? For better understanding see code below:

#include <iostream>

struct S1 {
    void f() { std::cout << "S1::f\n"; }
};

struct S2 {
    void f() { std::cout << "S2::f\n"; }
    void g() { std::cout << "S2::g\n"; }
};

template <class T>
struct D : private T {
    using T::f;
    // using T::g; // need this only if T provides g() function
};

int main() {
    D<S1>().f(); // ok. Prints 'S1::f'
    D<S2>().f(); // ok. Prints 'S2::f' 
    D<S2>().g(); // fail. But wants to be ok and prints 'S2::g'
    return 0;
}

How can I reach desired behaviour (if it possible)?

C++ partial template specialization and use decltype(void(&T::g)) for SFINAE

#include <iostream>
#include <type_traits>

struct S1 {
    void f() { std::cout << "S1::f\n"; }
};

struct S2 {
    void f() { std::cout << "S2::f\n"; }
    void g() { std::cout << "S2::g\n"; }
};

template <class T, class V = void>
struct D : private T {
    using T::f;
};

template <class T>
struct D<T, decltype(void(&T::g))> : private T {
    using T::f;
    using T::g; // need this only if T provides g() function
};

int main() {
    D<S1>().f(); // ok. Prints 'S1::f'
    D<S2>().f(); // ok. Prints 'S2::f' 
    D<S2>().g(); // ok. Prints 'S2::g'
    return 0;
}

Live Demo

Edit:

This is another approach that is more flexible, but I have no idea how does private virtual inheritance works with real use cases. Please let me know if it may cause any issue (e.g. UB).

#include <iostream>
#include <type_traits>

struct S1 {
    void f() { std::cout << "S1::f\n"; }
};

struct S2 {
    void f() { std::cout << "S2::f\n"; }
    void g() { std::cout << "S2::g\n"; }
};

struct S3 {
    void g() { std::cout << "S3::g\n"; }
};

template <class T, class = void>
struct D_f {};

template <class T>
struct D_f<T, decltype(void(&T::f))> : private virtual T {
    using T::f;
};

template <class T, class = void>
struct D_g {};

template <class T>
struct D_g<T, decltype(void(&T::g))> : private virtual T {
    using T::g;
};

template <class T>
struct D : D_f<T>, D_g<T> {
};


int main() {
    D<S1>().f();
    D<S2>().f();
    D<S2>().g();
    D<S3>().g();
    return 0;
}

Live Demo