This is the correct answer. As Hardaway’s rabbit sketch made the rounds about the studio, people began to refer to it as “Bugs’s Bunny”. Eventually, the possessive was dropped and the name Bugs Bunny just stuck.

These fall under the category of “Half-baked Idea”. This includes any idea that obviously hasn’t been thought all the way through. Half-baked ideas can range from the absurd (e.g. “The Earth is flat.”), to the benignly optimistic (e.g. “Everything works out for the best.”)