This point is not very clear for me. Its indicated on the rules that when completing faction jobs you dont take a DELIVER but an OUTPOUT action, you not change (and you dont care of) the demand tile of the outpost and you not place your "not welcome" standee.
So for a job saying "fulfill demand for water X times" you can take several OUTPUT action consecutively on any outpost ?
Those are different because they say "fulfill demand", which means that progress of that job is incremented whenever you make a delivery action at a town that is buying water. You don't need to do anything special for this job. Just collect and sell water 3 times and you've completed it.