Exactly, these are using real magnetic voltage stabilization (on the middle coil, connected together with the resonance capacitor).
The first coil excite the magnetic field in the core, the second is the main stabilization one (it has narrower core portion inside, where the core saturate) and the third one act as energy pickup to the lamp.
Magnetic shunts between all coils cause the coupling to not be as tight:
Between the primary and the stabilization it allow controlled current trough the primary and the shunt between stabilization and the output coil make the output impedance high for the main lamp ballasting.
This setup is not only heavy, but lossy as well - as each coil has it's own dissipation.
The summary would be, then such creation is about three times as big, heavy and have three times higher losses then series reactor ballast for the same lamp (e.g. 150W HPS supplied from 240V)...