When faced with a problem, some people "solve for no" (think of obstacles/reasons it can't be done) and some "solve for yes" (think of ways to do it).
While it's true that some folks default to one or the other approach regardless of the problem, I've found one of the best ways to tell whether someone actually wants to do something (and more accurate than what they claim to want), is whether they solve for no or solve for yes.
@kyle Are you talking about problem solving or problem avoidance? Your last paragraph seems to factor in productivity with "wants to" vs. a problem solving strategy. e.g., test to fail