Are you sure?
You don’t have, ever, a moment of satisfaction when you hear the thwack, see the puff of fur and it tumbles over? A surge of adrenaline before you pull the trigger, followed by something that is often described as a form of euphoria after you know it’s down? In a way you never get shooting at a target?
If you really don’t like the actual kill, you wouldn’t do it unless you absolutely had to and had exhausted all other alternatives.
To say you enjoy the kill is different from it being the ONLY part you enjoy. But I think that completely denying that you enjoy it is hard, and probably dishonest at some level.
It’s not an easy thing to explain or justify, and sits very uncomfortably with modern sensibilities, but it’s undeniably there.
And I think most people become less comfortable with the kill as they get older / kill more, and become steadily more selective over time.