I can still empathise with an animal, especially a hurt one.
I don't think it's an awkward boner moment, I've certainly never experienced in that way, for me it's just being very aware of the power you're wielding. A reminder of where you sit on the food chain, far more of a philosophical thrill than a physical one. And then there's the satisfaction aspect of a clean kill, the stalking to within distance, the singular focus on what you're doing etc. It is not an easy skill and it's satisfying to execute well. I avoid the pain and suffering of creatures at all cost, in fact before you can shoot Kangaroos for meat, you have to prove marksmanship competence.
I don't bait and I don't trap.
Now before everyone explains the morality of it, or having a "power trip to feel good about themselves" or some such diatribe, neither do I, I'm trying to explain better what I've described as a "thrill" and where the enjoyment comes from. I hope that makes sense, but it's a difficult concept to describe, and probably one you need to experience for yourself before it'll make any sense.
Should be easy enough to quote then.