C++ 템플릿 함수 짜는데 질문있습니다~

#ifndef _WIDGET_H_
#define _WIDGET_H_
 
class Widget { 
public:
	Widget() { }
	virtual ~Widget() { }
 
	virtual Widget* size() = 0;
	virtual void normalize() = 0;
	virtual void swap(Widget& other) = 0;
	virtual int getS() const = 0;
};
 
#endif

#ifndef _BOOK_WIDGET_H_
#define _BOOK_WIDGET_H_
 
#include "Widget.h"
 
class BookWidget: public Widget {
public:
	BookWidget(): s(100) { }
	BookWidget(int n): s(n) { }
	virtual ~BookWidget() { } 
 
	virtual Widget* size();
	virtual void normalize();
	virtual void swap(Widget& other);
	virtual int getS() const;
private:
	int s;
};
 
bool operator>(const Widget& lhs, const int rhs) { 
	return (lhs.getS() > rhs);
}
 
bool operator!=(const Widget& lhs, const Widget& rhs) {
	if(lhs.getS() != rhs.getS())
		return true;
	return false;
}
 
template <typename T>
bool operator>(const T& lhs, const int rhs) { 
	return (lhs.getS() > rhs);
}
 
template <typename T>
bool operator!=(const T& lhs, const T& rhs) { 
	if(lhs.getS() != rhs.getS())
		return true;
	return false;
}
 
#endif

#include "BookWidget.h"
 
Widget* BookWidget::size() { 
	return this;
}
 
void BookWidget::normalize() { 
	// normalize
}
 
void BookWidget::swap(Widget& other) { 
	// swap
}
 
int BookWidget::getS() const { 
	return s;
}

#include "Widget.h"
#include "BookWidget.h"
#include <iostream>
 
template<typename T>
void doPro(T& w);
 
int main(int argc, char** argv) { 
	BookWidget bw;
	doPro(bw);
	return 0;
}
 
template<typename T>
void doPro(T& pw) { 
	T pw2(50);
	T pw3;
	int a = 10;
 
	if(pw.size() > a) {
		std::cout << "OK" << std::endl;
	}
 
	if(pw != pw2) {
		std::cout << "OK2" << std::endl;
	}
 
	if(pw != pw3) { 
		std::cout << "ERROR" << std::endl;
	}
	else { 
		std::cout << "OK3" << std::endl;
	}
}