Hey Sky,
You are wise! It does not matter how Partnered Output Coils are connected!
@All reading,
It is important how the Partnered Output Coils Interact together! L3 must see L2 as its Source! Or vice versa,either way around. If this does not occur, then its not working, but as Sky points out, it does not matter how the Coils are connected! How the Coils are connected will change the way the Driver acts however, Fighters ZPM is an example of this.
I shared this Image:

From Here: The Future is now, Energy, Space, its here now
The longer Red and Black wire represents the Partnered Output Coils. Each Current opposing!
Remember what Floyd Sweet told us:
Consider for a moment the construction of the triode which includes the bifilar coils located within the fields of the two conditioned magnets.
When the current in one half of the conductors in the coils (i.e., one of the bifilar elements in each coil) of the device is moving up, both the current and the magnetic field follow the right-hand rule.
The resultant motional E-field would be vertical to both and inwardly directed.
At the same time the current in the other half of the conductors in the coils is moving down and both the current and magnetic field follow the right-hand rule.
The resulting motional E-field is again vertical to both and inwardly directed.
Thus, the resultant field intensity is double the intensity attributable to either one of the set of coil conductors taken singularly.
Which, is, by definition, this:

At the Frequency of Operation, the Partnered Output Coils, will "Generate" Energy, Amplifying Current, and Voltage depending on dΦ/dt, Faraday's Law of Electromagnetic Induction.
Skywatcher's interpretation is correct, as Floyd Sweet showed us, he had 2x sets of Coils, each set wired in Series to the other set, but both sets of Partnered Output Coils wired in Parallel:

It is amazing, the basic fundamental, elementary force of M.M.F, and its operation in such a simple Circuit!
Electrical Engineers spend all day trying to get rid of what they call Parasitic Inductance:


We want to capitalise on it! Its the Natural Law that is fundamentally connected to Newton's Law: For every Action there is an Equal and Opposite Reaction!
Best wishes, stay safe and well My Friend,
Chris