As it is with cows, sheep and chickens etc, feeding them the food required for reproduction, results in the mob disregarding further food from the player and reproducing. Rabbits however, when fed, keep tracked on carrots, if the player is holding them out. They breed once the player removes the item from their hotbar selection, as seen in the screenshot, where as other mobs couldn't care less.
I can not be sure if this is a bug, but it is however unconventional AI, and perhaps may be a mistake/bug.
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It could be a dupe of MC-65040
marcono1234
No that is not MC-65040 I guess.
When I understood you right, it is probably a bug, because like you said, other animals stop tracking you after getting the required item to bread.
migrated
Oh, I thought the animals bred, but that the little new-born rabbit wasn't visible. But I watched only the images and I didn't read the text...