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The question is when does that advantage show up? Probably long before the lefties become world class. The interesting test would be to compare won-loss records of LH vs RH players in randomly selected matches between people in, say top 200 in the world, and compare that to outcomes between players at, say, 1600 level.
My theory is that early on lefties have an advantage, and so are over-represented among junior players that are good enough to get noticed and who then get access to intense training. So more become pros (relative to their prevalence in the population).
Imo it's just the simple fact that there are less left-handed players, which means especially in lower rankings they have a little advantage due to unfamiliarity. That can give them a tiny bit of an edge and if they have success early on, they will be more likely to keep on playing and get to a higher level. Maybe it's some sort of tiny snowball effect that pushes the statistics noticeably in one direction. One would have to explain the difference between men and women though.
It's quite logical