I think I'll try to avoid coming back here as it will just make me angry, worked up and incoherent, but in summary:
-- We should always question the conclusions of science, because that's how it works and moves on.
-- The questioning method should, really, be based on scientific criticisms. Does the evidence stand up to the usual tests? Such as statistical, or whether or not the method was a good one, or if the results are replicated.
-- If the answers these questions are such that there is no reason to fault the experiment, then I think the rational thing to do is to base your world view on the results.
In this way it can be in a sense correct to "reject" ideas that later on become acceptable to science, if at the time those ideas had little or no evidence to support them. In the particular case of dowsing, that is how things stand at the moment. Not a single claim has stood up to scrutiny. Nor is there any reason to believe that this will change.
I suppose you can still say, correctly, that "we don't know". But that is, I think, misleading and doesn't fully capture the current picture. We do know that there is no credible evidence so far. That tips the scale firmly in the favour of doubting any and all further claims.
It would, of course, only need a single dowser to demonstrate his or her ability in a controlled experiment to turn this picture on its head. If and when that happens, I'll accept the changed picture, I hope. Not to do so would be closed-minded indeed. On the other hand, I can say with a good deal of confidence that it is highly unlikely that this will happen. That isn't being closed-minded -- it's just rational.