I had the opportunity to watch the phenomenon myself, and it did indeed take my villagers two dunks before catching the fish!
More than one villager can catch the fish, however, as soon as the first one makes it back to the food bin, a celebration begins and everyone comes running, dropping whatever they happen to be carrying. This means that no more than one ever gets to the food bin.
I wonder what would happen if you managed to get two people to deliver it at the same time?
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Why is it that if someone tells you that there are 1 billion stars in the universe you will believe them,
but if they tell you a wall has wet paint you will have to touch it to be sure?