Not a rabbit image but I love koalas!!! Very much!
Well I would eat it, and yes I have eaten different things that under normal circumstances I wouldn't have done, things that I don't like at all but when I'm hungry it doesn't matter.
For example in Argentina is very famous the hare which is a kind of rabbit, or the vizcacha, deer, wild boar and I have eaten them .... they were given to me by a person I knew who had gone hunting and well .... I wasn't going to refuse, it was a time of hunger.
So to the question if I would eat unusual things and more if my family is hungry. I would.