I loved off roading my old wranglers, but wouldn't dream of doing it in the wrx. Where I live there are dirt roads - and although the car is fine on them I have to be picky as to which ones I go on as the car is just too low for some of these roads. Maybe if you modded it, sure, but not stock.
If you want a true off road vehicle, get a Jeep, you can't even ding the paint if you try. (Well, maybe a little)