Both of those circuits show the load directly attached to transformer secondary.
No gain there.
That's true G, but what if (and this is a big "what if") the circuit acts in the manner of a pump and check valve, whereby electrons are pumped out of the ground connection, and entrained by the oscillations, but not allowed to return, just accumulate. Part of the energy will be lost as radiant light and heat from the lamps, but will be constantly replenished, possibly a balance will be achieved. The squeezing action (like a peristaltic pump) is the HF field around the wire going through the center of the coil. The spark gap acts like the check valve. The coils resonate at two different frequencies to provide a movement in one direction to the electrons. Just a WAG, if it works at all.
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