I have meat rabbits and pet rabbits. I have a cat. I have a high prey drive dog.
He accepts the cat as a little brother, and has tolerated the fearless (foolish) pet angora rabbits as if they are cats, because I insist. But I rely on very strong fences and supervision to keep everybody safe. If it runs, and I don't say to stop, he will take it down, no matter what it is--probably even if it is a human. This is just his breed, and would have been true regardless, I knew what I was getting. Feeding or not feeding would not have changed that, but he is definitely smart enough to know that when I get out the buckets and the stunner, snacks are on their way.
If you have a dog that won't currently chase wild rabbits, you are probably fine. I had one of those in previous years, and my problem was he wouldn't eat things with fur on them. He looked at me like I was a murder, with woebegone eyes, and cowered, lol. That dog could be used to hunt down an escaped rabbit safely. Nothing I could have done would have made him suddenly kill.
It really varies by their personality.