Watch the video or you are not going to understand what I’m talking about. First you build an ordinary unicycle. Then you add hand cranks. These will have a chain that runs to a cog on the axle. I can see two major types I’m going to discuss type S here for stationary. That is ordinarily you keep the hand cranks from turning while you pedal. You use the hand cranks for side to side motion. That tire is going to be quite difficult to rotate around it’s second axis. You may just decide to let it move and correct using the foot pedals or you may decide to counter the side motion with the hand cranks. I’m not going to work out the mechanism to transfer power from the cog to the sideways rotors because I want people who are willing to build these get their own patents. If you think such a mechanism is impossible search for triple axis tourbillon videos.
I doubt the car can ride safely on the snow. There is no profile on those wheels. If my unicycle started behaving like that, I would fly right off.
I can’t see any practical application for this on a unicycle as we already have the ability to just stop and hop in a circle or take a small turn to spin around. It would be neat though to try something like this but probably very difficult and for no real gain.
These can also roll in all directions, only have one contact patch and are much less complicated…
Would something like you describe be fun to see or try out once? Sure. But I tend to prefer to ask the question “why?” over “why not?”…
And if you think a mechanism as complicated as a triple axis tourbillon is needed to make something happen, I think that already answers the question of “why not”. Unicycles tend to be liked for their simplicity, mechanical watches for their complication - quite polar opposites (although I like both).
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We wouldn’t want our unicycles to be impractical now, would we? 
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Hahahaha, you’re definitely right. I just feel like this would be placed into a category with BC wheels and such oddities that it wouldn’t really get used often and would be more of a novelty if anything.
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