What if your neighbor has a water sprinkler that is watering their own lawn, adjacent to yours, initially with no spillage, and you install a big array of fans on your property to induce air currents that cause it to start spilling over onto yours?
I'm feeling like the initial analogy fit the premise better.
It feels a lot like spillage to me, antenna or not, but I admit my emf is weak
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!