Just remembering that it is Eric Bogle who wrote Nobody's Moggy, but also came up with many serious thought-provking songs such as No Man's Land, The Band Played Waltzing Matilda, A Reason for it All, Leaving the Land, One Small Star, Now It's Over.
So he did quite a few songs that some people regard as humorous, others to be in bad taste. I guess Sandman wouldn't like his Chihuahua song either, or even the Aussie Barbecue (a mouthful of flies would definitely not taste good.)
I am a cat lover too, but it is a fact of life that a good few cats do end up that way. But I don't have an issue with the song. Worse still, and it's happened twice to us, is for a cat to go missing and never be seen again.