In my opinion, the only way that jacks-on-wheels will work is if there is a true moment connection in all direction (relative to plan view) of the jacks at the camper.
Even if this were achievable, the camper sides would need to be able to withstand the forces transmitted upon it. If both of these could be achieved, then the weakest point would be along the length of the jacks themselves (i.e. you would not want the jacks to bend when rolling the camper as a whole.)
(...sorry, the engineer in me comes out when analyzing things like this along with too much coffee and boredom at work.)