A star dilemma. Which of the two is superior?

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Thinking simply, it's Kang Min with two championships, but
Song Byung-gu has more finals appearances and even a WCG title.
The deciding factors are head-to-head records and win rates.
Song Byung-gu is the one who captured both cumulative stats and win rates.
In fact, Song Byung-gu had quite a long career.
Though the problem was that he spent a significant amount of time in the "Kong line" (bottom tier).