You would be wrong. Animals kill for many of the same reasons humans do, jealousy, for sport, establishing dominance, for sexual favors, for food, even just bullying, killing off the weak or inept. Humans have expanded on the number of reasons to kill but we are not different from animals except in our increased sophistication.
You are missing the point. I said animals don't kill, as man does in many cases, strictly for the pleasure of killing. I never said they only killed for food as you seem to believe. Sure they kill for dominence and to dispose of the weak and lame. Killing the weak and lame is natures way of cleansing the gene pool. In any case these actions are instinctual, not premeditated.