I think the "distinct" part is what makes it false choice. "Builder" (ability to create a product personally) is good. "Entrepreneur" is good. Having either one in spades may be sufficient for success. Having some measure of both may be as well.
It's pretty easy for me to think of people that are in one category or another, but more difficult to think of people who are a good mix. PG might qualify... who else?
To make this into an easier true/false question lets look at the http://www.startupschool.org/speakers.html Of these Marc Andreessen, Jeff Bezos, DHH clearly qualify, and likely some of the others as well (I don't know enough about them).
