The induction, i see it as swinging of atoms in the core. The electron orbiting, this rotates the electric field. but it pushes electrons in one direction only when it turns towards the wire or away from the wire. It's like you stand facing a house, and someone aims a stream of water at you from the roof of the house. When the water hits you from behind your back, then it moves you forward, but when it goes over you and hits you from front, then it moves you backwards more than it moved you forward, because the water stream is shorter then.
Now moving the electrons forward, what is involved in it is the electron orbiting the nucleus of the atom. And the electron doesn't fall to the nucleus when it does work, so this may be a source of overunity. Where it comes from, well in general, doing work makes things move in some orderly way, and this should decrease the chaos and thus energy at the zero point. And working against the field should increase the chaos, and thus the energy at the zero point.
But overunity is not really anything extraordinary. When you hold an object and then drop it, it falls to the ground and gets energy, means the field does work, this is overunity. But the earth's gravitational field is symmetric, that is spherical, means to rise it to the same height again, one has to do the same amount of work. This is because the field is symmetric, not because of the conservation of energy. Some other fields like magnetic field are not symmetric, as it has two poles. And every asymmetric field can do work, that is, there is a way to go through that field, by increasing the speed.
The induction is very symmetric, but when like it works to create charge in a capacitance which is near so that electrons don't have to much move, then there may not be much Lenz effect back. Like there is such capacitance in a bifilar coil. And this may be one thing that may make it asymmetric, which should appear as the coil's back-emf becoming wider. As this may depend on self-oscillation, then it may appear more near the resonant frequency.
I don't know about this real device, the only thing i can say is that when there is overunity in a coil, then my experiment in that overunity com thread should show that.