Cloud 1 - oh how I sooooo agree. You can explain the truth to passengers until you are blue in the face but they will still conclude you are lying.
Many years ago my ADF went U/S en-route to Alderney so I couldn't get in (overcast at 600' AMSL)but could get in to Jersey/Guernsey using the ILS. The passenger reaction to the explanation was "I've phoned my friends and there's no problem with fog at Alderney, I won't fly with your airline again". Attempts to explain that different equipment was necessary for different airports was met with an unshakeable belief that I was simply lying through my teeth.
Fortunately, I managed to resist the temptation to nut the b*******d but I have never forgotten this shining example of the gross arrogance of some passengers. As you say, for some, there is never a sufficient explanation.