They’re good for your eyes
The only behavior you can’t condition out of a dog is begging for food. It doesn’t matter that your dog already had lunch and a post-lunch snack. If it sees you munching on something delish, it’ll ask for a bite or ten.
But the OP’s pup is completely different. It doesn’t beg for a bite of a burger, pizza, or even french fries. Instead, of all the delectable foods on this planet, this dog somehow can’t resist a good carrot. Now, don’t take this as evidence that you can turn your dog vegan, people. Out of a billion dogs on the planet, there’s bound to be one vegetable-loving weirdo, and this is it.