You appear to be stretching. Domestic cases have everything to do with relationships, almost nothing to do with locations. Burglaries, home invasions, arson all can happen at residences, and not be anything domestic. Happening at a domicile is not the definition of a domestic case. This case did not even happen in the domicile, and may not have happened on private property, although such is not immediately clear. The driver might have been on private property when it happened.
The point is that the police don't want this type of hassle, and they will avoid it if they can.