The traditional narrative was that Kafelnikov was lucky b/c his two Majors wins were (1) the 1996 French Open, when he faced fast court players in the money rounds; and (2) the 1999 Australian Open, where he famously thanked Sampras for not showing up.
On the other hand, it looks to me like he was pretty unlucky. Let's go by Major (other than Wimbledon, where I don't think he had a shot at winning, despite his Halle titles).
Australian Open:
1994: loses to eventual champion Sampras in the 2nd round 9-7 in the fifth set
1995: loses to eventual champion Agassi in the QF
1996: loses to eventual champion Becker in the QF
1997: injured
1998: injured (was 6-2 against finalist Rios and 7-2 against champion Korda)
1999: wins
2000: loses to Agassi in the final
So, he either wins or loses to the eventual champion every year he plays from 1994-2000 and would have had a great shot to win in 1998 if not injured.
French Open:
1995: loses to eventual champion Muster in the SF
1996: wins
1997: loses to eventual champion Kuerten in five sets in the QF
1998: as the #6 seed, he has to play world #19 Enqvist in the second round and loses
1999: as the #1 seed, he has to play Chang in the first round and #30 Hrbaty in the second round. He loses to Hrbaty, who makes the SF
2000: loses to eventual champion Kuerten in five sets in the QF
2001: loses to eventual champion Kuerten in the QF
So, from 1995-2001, he wins or loses to the eventual champion 5/7 years, with those losses being to Muster at the peak of his powers and Kuerten during his dominant stretch. In the two years he loses early, he faces players in the second round whom he couldn't have faced under modern seeding (and, unfortunately, those are the two years w/weaker finalists). If we throw in 1994, he lost in the third round to Berasategui, who ended up making the final.
U.S. Open:
1999: loses to eventual champion Agassi in the SF
2001: loses to eventual champion Hewitt in the SF
Kafelnikov is better on the slower courts, but he still has two years where he loses to the eventual champion.
Conclusion: Reviewing Kafelnikov's results, to me it seems like he got pretty unlucky with draws during his prime, and he also got unlucky w/his injury before the 1998 Australian Open and the fact that his 2 off years at the French were the years when he could have avoided peak Muster and the reign of Kuerten.
On the other hand, it looks to me like he was pretty unlucky. Let's go by Major (other than Wimbledon, where I don't think he had a shot at winning, despite his Halle titles).
Australian Open:
1994: loses to eventual champion Sampras in the 2nd round 9-7 in the fifth set
1995: loses to eventual champion Agassi in the QF
1996: loses to eventual champion Becker in the QF
1997: injured
1998: injured (was 6-2 against finalist Rios and 7-2 against champion Korda)
1999: wins
2000: loses to Agassi in the final
So, he either wins or loses to the eventual champion every year he plays from 1994-2000 and would have had a great shot to win in 1998 if not injured.
French Open:
1995: loses to eventual champion Muster in the SF
1996: wins
1997: loses to eventual champion Kuerten in five sets in the QF
1998: as the #6 seed, he has to play world #19 Enqvist in the second round and loses
1999: as the #1 seed, he has to play Chang in the first round and #30 Hrbaty in the second round. He loses to Hrbaty, who makes the SF
2000: loses to eventual champion Kuerten in five sets in the QF
2001: loses to eventual champion Kuerten in the QF
So, from 1995-2001, he wins or loses to the eventual champion 5/7 years, with those losses being to Muster at the peak of his powers and Kuerten during his dominant stretch. In the two years he loses early, he faces players in the second round whom he couldn't have faced under modern seeding (and, unfortunately, those are the two years w/weaker finalists). If we throw in 1994, he lost in the third round to Berasategui, who ended up making the final.
U.S. Open:
1999: loses to eventual champion Agassi in the SF
2001: loses to eventual champion Hewitt in the SF
Kafelnikov is better on the slower courts, but he still has two years where he loses to the eventual champion.
Conclusion: Reviewing Kafelnikov's results, to me it seems like he got pretty unlucky with draws during his prime, and he also got unlucky w/his injury before the 1998 Australian Open and the fact that his 2 off years at the French were the years when he could have avoided peak Muster and the reign of Kuerten.