If the winding would be assymetrical, then it would matter which winding is connected where. But as I understood, the wiring diagrams do not explicitely mention that to matter, so my guess was they are symmetrical.
Plus SRS was developed in the T12 time and T12 were happy with about 200V for ignition with warm electrodes, so you don't need any voltage boost there, even with 220V nominal mains.
And I doubt the design won't prefer some extra "poka-yoke", when there isn't anything explicite to not allow it.
only checked one of my SRS ballasts so far, a Multi-wattage Parmar 5ft-8ft 65-85W jobby
https://www.lighting-gallery.net/gallery/displayimage.php?album=lastupby&cat=0&pos=27&pid=261057&uid=476#msg889328and as you can see from my comment in the upload above, the windings are not of the same DC resistance so I would go out on a limb and say they are asymmetrical
This damn circuit is quite hard to understand, despite being that simple. Vector diagrams in Atlas book from @LightBulbFun help a bit.
Despite a loud name, not much resonance is going on here. For a simplified variant, one can ignore filament resistance and assume the windings are the same with 100% coupling. That way, on startup, the circuit degenerates just to two filaments in series with a capacitor, powered from mains, and in working mode, (surprise!) to just a trivial lag single choke circuit with a PFC capacitor across THE MAINS (!). A classic circuit theory approach where you are allowed to mentally connect the nodes with the same potential helps with the analysis.
From Atlas diagrams, though the windings have some slight asymmetry, and sure coupling is not 100%, which will give a weak resonance kicking OCV up a little.
I find it interesting that claims are made that there is no or little resonance going on when the atlas technical booklet explicitly mentions that they work by resonance to boost voltage for lamp starting
in particular what do you say about the comment in the technical booklet about the voltage rise coming from the adding of Vc to Vs?
also should be noted SRS ballasts for 18W SOX lamps where quite common (as they officially require about 300V to strike, so an SRS ballast was seen as a good way to generate that in a compact low-loss-ish ignitor-less setup that also has the added benefit of inherent PFC correction)
https://www.lighting-gallery.net/gallery/displayimage.php?pos=-116224(I was always a bit annoyed how they tied the coils together into a single terminal like that, so you cant use it with a regular 2ft tube or 18W-24W PL-L or 28W 2D if you wanted to LOL)