You guessed right! This was a clandestine reference to that lovable alien ALF and his penchant for eating cats. Remember ALF and what innocent, carefree times we had with him?
Yeah, that was all a lie. When the camera wasn't rolling, Gordon Shumway was profane and racist, mocking people with Tourette's Syndrome and making extremely inappropriate advances to teen-aged cast mate Andrea Elson. (Warning: NSFW language ahead. And it's all coming from ALF!)
Yeah, Elson's obvious discomfort makes this especially cringe-worthy. I think we all need to go pray now.
P.S. - I think this is one of the many cartoons which works better if Ziggy/Zomby is removed entirely. Here, see for yourself..