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So where as both situations result in improved far field signal, one method is and the other method is not OK.
I wrote that monopole system radiation from buried horizontal wires, and also from elevated horizontal wires used as a counterpoise is negligible in the far field. All of the useful far-field radiation from both systems is launched by the monopole, itself.
Under FCC ¶15.239(b), unburied “ground” conductors of every physical orientation are not allowed if they extend the length of whatever is connected to the r-f output connector of the transmitter plus the those “ground” conductors to a total of more than three meters.
The position of the FCC as to whether or not elevated horizontal wires used as a counterpoise for, and/or to “top load” a monopole must be included in the 3 meter total permitted by ¶15.239(b) is unknown (to me, anyway).