In my eyes the guy lied, and he was selfish. He said he wanted a doe or hog because that is more likely to get him permission to hunt from guys who manage their land for big bucks. Obviously he wanted a buck, because that's what he shot.
What if it was your fridge, and he had said "can I grab a drink from your fridge? I'd like a beer or a soda." Then he takes and drinks the expensive champagne you were saving for a special occasion.
"Hey, I thought you said a beer or a soda!"
"Yeah but I saw this and it looked good, so I took it."
That's a mentality that would get someone blacklisted from my place forever.