This line of reasoning is very flawed. Lions regularly commit infanticide and dolphins rape, therefore these must be ethical things to do? It's a classical appeal to nature fallacy.
"Yes I killed those people my honor, but tigers kill people too, and even my fellow humans kill other humans all the time, so it's perfectly ethical if I do it too. It's just my way to connect with nature!"
Would it be ethical in your view to cut the throat of a dog from time to time and eat the body parts, even if alternatives are readily available? The tiger has no other choice, and no moral capacity, but we do.
I don't think that serious violence against animals without necessity to do so can be justified, and taking a life is one of the worst things you can do to a sentient being that doesn't want to die.