Some may consider the net radiation from a conductor connecting the ground pin receptable of an a-c power line outlet to an earth ground to be low/negligible, due to field cancellation caused by the other a-c wires in the house.
However the physical separation of such wires is a very small fraction of a wavelength in the AM broadcast band, and their radiated fields have almost no cancellation.
Practical examples of this are the tapered towers used by some AM broadcast stations. They consist of 3 or 4 essentially vertical legs along with numerous horizontal and diagonal braces along its height. These configurations may have their legs separated by 30 feet or more at the base of the tower. Yet this structure produces almost the identical radiation pattern as that of a single conductor of the same height.
The "ground" conductors of a-c house wiring are effective radiators of r-f energy along their entire length/height from the a-c outlet to the point where they connect to the buried ground rod at the a-c service entrance.