Update!
Took a bit of sleuthing in brochures and datasheets to find the exactly right model, but it's not a simple choke ballast as expected, but a somewhat unusual (in Europe) constant wattage ballast!
It seems to 'just' be current limiting, but any deeper explanation on how this thing works is welcome.
Roughly, all that wickedly connected autotransformer circuits in the end are electrically equivalent to a series LC tank in circuit with a lamp. Current stabilization arises from ferroresonance phenomenon. When current increases, it starts to drive a magnetic core or some part of it (magnetic shunt) into saturation. That decreases effective inductance, and detunes series LC tank circuit out of resonance, increasing the impedance.
Usual LC leading fluorescent ballasts are displaying this behavior to some degree, too!