While we’re sharing real-life knowledge (which you personally probably know, sharing more for the benefit of onlookers), the cultural association of bunnies with carrots exists because some Clark Gable film existed where he ate a carrot, Bugs Bunny parodied it, and now we have this association for all rabbits. Doesn’t stop bunny + carrot from being a cute mental image, but I wonder if that is simply because I already associate carrots with bunnies.