It does, but doesn't mean it'd be a flying mount though. Since they are all land based mounts, its easier to assume it wouldn't fly even if the name sounds like it. Also, technically one could say it is "soaring" as it is levitating in the air to start with.
Though it could be that they all adapt and can fly as well. Based on the limited information we have we don't know for sure and easiest to figure they are all land based due to no flying.