Okay, so the uploader of this video actually told me about the Ott-lite desk lamp that he has. Despite being electronic ballasted, it seemed to
operate the PL-S lamp with a starter, successfully, without any noticeable detrimental issues. Am I missing something?...
... unless maybe this desk lamp contains both an electronic ballast and magnetic ballast, which I highly doubt.
Anyways, here's the video: https://www.youtube.com/watch?v=eGQThMYJW14.

It is borderline okay, because usually a PL-S lamp has a capacitor inside (somewhere about 4700pf) *about* in range of what to be expected for simple electronic ballast resonant capacitor. More, there are non-standard Asian 2-pin PL lamps containing a capacitor, but lacking a glowbottle inside.