As I'm away and I can't experiment, I'll try to extract the main issues and possible solutions Chris is describing.
Chris is talking about the thread "Parallel wire or bifilar coil experiment". The goal of the experiment is to have 2 coils winded in parallel, having common ends, but conducting in opposite directions when subjected to a sine wave magnetic field. In addition, there is the goal of creating a magnetic standing wave that is magnetic resonance between POCs.
Because half of the output coil is non-inductive, the input coil creates a voltage only over the inductive half of the output coil. The non-inductive part of the output coil will see a voltage only when achieving magnetic resonance aka a magnetic standing wave in the core and double current in both parts of the output coil.
"Inductance defines how a coil carries current", a very important statement from Chris, something one does not find expressed so simple in books. The output coil does not follow Kirchhoff's law because it's partially non-inductive.
The non-inductive layer is tied in parallel to a bipolar cap calculated for LCR resonance. Chris explains this creates a phase lead. This is, in my opinion, about delayed conduction. One way to try to do delayed conduction is by using LCR resonance in one of the POCs.
The setup is not achieving a 180 degrees phase angle between the currents in the output coils. The phase angle measured is 252.5 degrees, calculated using the Above Unity Calculator. This is a method to measure the phase angle between 2 traces. There is, however a serious difference (2.73 times) in current between the output coils(layers), as Chris predicted.
There is reflection from the inductive part of the longer output coil. Chris is showing the input voltage. It should be AC, symmetrical square wave, but we can see there is a kick from the DUT which decreases the input voltage and pushes the input current up. I'd add it's decreasing the input coil impedance.
"It's just the knowledge of the coils and how they interact with each other" (Steven Mark)