So, in a career of more than 1,000 matches (winning 85%) and more than 400 matches at slams (winning 87%), you pick out three matches? Do you realize how unfair that is?
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I don't know if Serena is the greatest women's player of all-time (while Open Era isn't as big a change for women as it was for men, I still look at this as an OE thing, so not counting Court and those who preceded her), but to me, she's in the running, along with Graf, Navratilova and Evert. She's as good a choice as any of them, but there are too many variables among them to compare.
This thread was about the ratings for her last match and clearly, Serena (whether the very greatest or not) transcended tennis popularity and was well-known to many who weren't simply tennis fans. If she made it to the finals, and people knew that it would be her final match (there was no way of knowing she would lose this particular match), the ratings would have been massive.
Nobody asked me, but I have mixed feelings about her. At times, I found her - in interviews and commentary - very bright, charming, etc, but there's also the Serena of her meltdowns. The ones in the Osaka and Clijsters matches are hard for me to get past. Then again, I also admire how both Venus and Serena got to the very top, facing very long odds and prejudice along the way. Put it this way: My favorite person in tennis history that occurred in my lifetime was the late, great Arthur Ashe -- brilliant, strong convictions (and not just for himself, for many others) and yet, the consummate sportsman.