I believe that if you subsidize irrational behavior you will just get more of it. As a
reductio ad absurdum, suppose someone hung themselves next to the reservoir, and it was proposed to drain and refill the reservoir to get rid of 'ghost water.' Of course that would be ridiculous, but if you did it then you might just as easily set a precedent.
Indeed, a quick search for 'ghost reservoir' turns up stories from places as diverse as New Jersey and Singapore, although these are related to drownings, which would present a much more significant health hazard. Fortunately, authorities in those places seem to have kept things in perspective. It's a lot better to just go on TV, tell everyone that the water is actually fine, thank you, and then drink a glass of it on camera to underline the point. Sure, a few crazies will think there's a big cover up and post about it on infowars or wherever, but those are the same people that think flouridation is part of a government plot to kill us all. Fuck them.