We often land away from familiar areas, and away from certified Heliports, Airports, etc.. The problem with the Chicago aircraft was, as best I know, was experienced upon departure from one of the scene flight points of origin. I am sure that once he was established in cruise, if he had been so lucky, he would have used your suggestion.
Not trying to call you out, but merely trying to explain to some who may not understand the environment in which US EMS operates.