Yes, this being the primitive archery forum, I am hunting with a bow. And just like your dog, when I grab my bow off the rack and string it, she comes running, tail up, pawing at my quiver of arrows, ready to run out the door. She doesn't fetch, but she knows we're hunting, there's no question about it.
As far as rabbit decapitation goes, she's not there yet. I did have a cat in Oregon that once killed a squirrel, disemboweled it, cut off its head and tail, and arranged all of the disparate pieces on a cutting board in our outdoor kitchen. She did the same thing with a blue jay on the welcome mat in front of our house. Both wings were detached and layed next to the bird. Cats are weird. Or at least that's what you think. Then you read James Frazer's "The Golden Bough" and you're like, man, people are weird too...