When teachers rely on the output of these detectors without checking the source material, they are effectively doing what they are accusing their students of do

When teachers rely on the output of these detectors without checking the source material, they are effectively doing what they are accusing their students of doing with Wikipedia, etc. The end result may be totally convincing, but nobody really knows until they actually look at what they think they are citing. The teachers should operate at least at the lowest level they impose on their students -- Check your work. Don't blindly copy someone else's results.