Generic operator<< definition?

gen_ostream_stuff.cpp

#include <iostream>
#include <string>

template <typename T>
std::ostream& streamOutEnum(std::ostream& os, T thing)
{
	return os << GetString(thing);
}

enum Type1 {
	What,
	Hey
};

enum Type2 {
	Yo,
	Mama
};

std::string GetString(Type1 thing)
{
	return thing == What ? "What" : "Hey";
}

std::string GetString(Type2 thing)
{
	return thing == Yo ? "Yo" : "Mama";
}

std::ostream& operator<<(std::ostream& os, Type1 thing)
{
	return streamOutEnum<Type1>(os, thing);
}

std::ostream& operator<<(std::ostream& os, Type2 thing)
{
	return streamOutEnum<Type2>(os, thing);
}

int main()
{
	Type1 thing = What;
	Type2 other = Mama;
	std::cout << thing << std::endl;
	std::cout << other << std::endl;
	return 0;
}