It would depend on how the autotransformer is constructed. If it's built with a single transformer internally (which would be wired across the 240V difference between the legs of a 50A RV circuit), then it would not work on a 30A circuit. If it's composed of two indpendent 120V transformers, then it should work just fine.
The 50A version of the Huges Autoformer does appear to have two separate transformers in its box, so it works fine on a 30A connection (and the literature for it even specifically states that this is possible and acceptable).