Depends what you mean by offroad.... the low profile will not be very puncture resistant at all once you are in any sort of rocks (even bad gravel road - bloke i know punctured 2 of his low profile tyres on the coast road to Cooktown - just a gravel road - stone bruise punctures not road hazards too by the way) - and you would most likely ding your rims up pretty bad to boot.
If you are just talking sand - then that may be a different kettle of fish - I have no experience with low profile tyres on sand to provide any feedback on that use.