Are all engineering graduates actually engineers??

Engineering is undoubtedly amongst the most desirable undergraduate courses available. But I often come across engineers/engineering students who are into engineering for every conceivable reason other than the one reason that would justify it- They love being engineers. Well, it's definitely lucrative as a career option with all those heavy salaries and exposure and blah blah, but if it's not something that a person would have chosen to be even without that salary, then perhaps he would never be at peace with his choice. And as someone has rightly said, if you are really good at something, there will always be someone to pay you handsomely for doing it. So why waste four years of your life doing something your heart doesn't want you to??