Isn’t this more about the difference between being ENTREPRENEURIAL (which to me personally means many of the things you describe) and ENTREPRENEURSHIP, which indeed I would associate most with topping up an entreprneeurial attitude with a desire to bring a venture into the world. If that venture is intended to actually improve the world then all entrepreneurs are also entrepreneurial. The exception possibly being the ones who only do it to earn loads of money fast (some may, mosty won’t).
In short: the rich diversity in entrepreneurial manifestations is the rich soil from which some sprout a venture, but not all. Entrepreneurship may be a way of living, being entrepreneurial is a way of being. And some people are both.