SK is listed as a public traded company in the Corp Guide ...
... which just means to me that someone wrote it without consulting previous information - in earlier corporate books, SK was listed as a private corporation.
However, Berkshire Hathaway is, I
think, probably a prime example of this, though I don't know if Berkshire A (trading as of this posting 939,981 shares at $215,462.76) is actually Voting stock, and Berkshire B (1.07 billion shares trading at $143.55) is actually Preferred. (I would think so, though - Berkshire A has apparently never split, and has only distributed dividends once, which is why it's trading at $215,000 per share.) There's actually a PDF link on their website discussing the differences between the two.
I can, in any case, see Lofwyr going this route. A SK IPO would net him tens of billions, I would think, even if he were retaining the lion's portion of shares for himself ... since he might initially distribute them 1:1, 10:1, 50:1, or even more to those who possessed SKP-A shares...