A lot of times, I hear that SJs like being given responsibility (not necessarily authority). I can think of a lot of cases, though, where I did not want it, because I was afraid of letting others down.
So do you like being given responsibility? To know that others are depending on you? When yes, and when no?
This is probably a difficult question to answer, because choices like this seem to happen on the subconscious level (totally making this up, but who's keeping score?).