From a physics perspective, the initial analogy doesn't hold at all though.

The antenna array is actually distorting the electromagnetic field and whatever is plugged to it is actively draining power from the power line. If there's no antenna the power line lose no energy through the field[1], it's not as if you were collecting lost power.

[1] in fact, you can even say that the energy is not carried in the cables themselves but in the air surrounding the cables!