Personally, I would be uncomfortable naming any pet after God or a saint (for the very reason you mention). Of the four cats we’ve had since our marriage, I’ve named one, and I called him Clive (after C.S. Lewis, one of my favorite authors). (BTW, it turned out to be a most unfortunate name, as he is unspeakably dumb, as in he never remembers who we are, even though we saved him from death by starvation; he runs from us! You never know if a pet is going to honor or dishonor its namesake!)
Children, after all, are made in God’s image and should aspire to sainthood, but no matter how good a pet is, it is not made in His image or on the path to holiness!
The title of your post made me laugh, as it called to mind a hideous supposedly “crucifix” sculpture I once saw hanging above an altar in Arizona. Honestly, this thing looked like a barbed wire bird about to do its business on the priest’s head! Our Lord was not honored by this “art”!