The black death plague - cats & rats?

Is there any historic weight to the assertion that a lot of the cat population was killed off during the black death plague for superstitious reasons and that this actually made the black plague worse, given that the rat population which carried the disease, as a result, had a population boom. If so, it'd... show more Is there any historic weight to the assertion that a lot of the cat population was killed off during the black death plague for superstitious reasons and that this actually made the black plague worse, given that the rat population which carried the disease, as a result, had a population boom.

If so, it'd also be nice to know where the feline superstition came from.
Update: Can't really bring myself to pick a best answer, all good so putting to vote!
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