Two separate, though intriguing, analyses have been proposed for Rabbi Katz; the first, and less likely, is a "Rabbi Katz" - "Rabid Cats" phonetic pun, and the second, and more likely, is a "Rabbi Katz" - "Rabbit Cats" phonetic pun. The second is more likely as both rabbits and cats are relative to each other insofar as that, biologically, they both belong to Animalia - Chordata - Mammalia, so they're of, literally, the same class. No idiosyncratic relation seems plausible, but still "Rabbit Cats" is a semi-acceptable explanation.
Confidence: 40