Nah, under the old scheme all the paperwork was in your own personal name. You applied for the permit and everything yourself and all the risk was with you. Under the new scheme private imports are only allowed for 15 year old cars and for private cars you owned whilst overseas.
With RAWS, only a RAW can apply for and import a vehicle. The car is in their name at all stages of the import process and all the paperwork is in the name of the RAW. They can certainly import one for you but it just won't be in your name, thats all.