It's really good your puppy is not interested in the bun. I've heard too many stories of dogs eating rabbits.
My brother has a standard poodle, and the poodle is really, really mellow. Like he looks at another dog, shrugs, and walks off. He doesn't bark (unless there's a cat outside), and plays with my cat that lives there. It's great.
I live in an apartment. One day, my brother had to come over to look at something, and the poodle always comes with him. I live over my mother's yarn store, and the poodle loves coming in and seeing the ladies.
This was back when I didn't have exercise pens, and the buns were just in their cages. The poodle went up to the cages, and my female moved inside the cage, causing some noise. The poodle jumped back, looking back at my brother, then went back to sniffing the cage. My female didn't know he was back there, her cage was covered in a blanket, so she didn't freak. It was really really funny.