In common with many other car makers in that period, Renault sold only the 'rolling chassis' and the customer would need to arrange for a coachbuilder to add the bodywork, for which there were no standard designs. So we have no way of knowing what Carter's Renault looked like, except for the distinctive engine cover which generally came with the chassis.
I would say that it did have coachwork, as the insurance valuation is too high for a chassis only. It is sometimes described as a 'touring car' or 'tourer', which at that time was used to designate an open car - not ideal for the antics of Jack and Rose, even if it had not been crated!