It fails as both a carrier and a run.
Apart from easily being able to get out, it would offer no protection in a car crash or from other animals at the vets, and the fabric base would sag and/or shift under all but light bunnies, which I imagine would make the rabbit feel unsafe. And I would never trust any carrier with a zip closure because zips can break at the worst of times, you'd be in a right pickle if it broke whilst you were carrying bunny in it.