I feel non-dominance has nothing to do with her supposed "luck" at her Slam wins, though. If anything, I feel Jen was often UNLUCKY at some of the Slams she didn't win...for example at the USO 1991 against Seles or USO 2004 against Dementieva.
And at the Slams she won, Jen played AMAZING tennis IMO...nothing lucky about it (except for maybe the OZ final 2002 where Hingis got exhausted in the heat LOL...). She beat players like Seles, Serena, Davenport, Clijsters and Hingis on the way to get her Slam wins...especially the way how she won her first Slam was highly impressive: beating Seles, Davenport and Hingis on hardcourt in a row...WOW!
You see I dont feel Capriati played "amazing" tennis in her slam wins at all. The best tennis she ever played was in slams she didnt win which is just more the sign she wasnt really ever good enough to win 3 slams. The only slam Capriati played really great tennis to win was the 2001 Australian Open. Even so watching the event Seles had her beat in the quarters and choked a bit, Davenport played one of the worst matches of her career in the semis, and Hingis was completely off her game in the final. Still with Hingis, Davenport, Seles, Venus, and Serena all in the quarters and coming through I agree she definitely earned that one.
The 2001 French was nothing that impressive. Struggling 3 sets Serena on clay back when Serena was a lousy clay courter, beating a by then mentally fried huge headcase Hingis in the semis, and then having a surprisingly hard time with a baby Clijsters in the final. As I mentioned I think she lucked out bigtime with many key withdrawals (Seles, Pierce, Davenport) and many key early losses (Venus and Mauresmo especialy). Even lucked out probably that Henin choked a big lead vs Kim in the semis as I think she would have beaten Capriati in the final.
The 2002 Australian? That was the luckiest slam win for a women EVER IMO. And she certainly didnt play amazing tennis whatsoever to win it. I was actually surprised how sluggish she looked. Serena and Davenport both had to miss the tournament with injuries, and both would have almost certainly won it this year IMO. Hingis was playing superb tennis all tournament but played 40% of that level in the final making it obvious she now had some mental block with Capriati, and even playing so poorly still should have won the final but blew 4 match points in the 2nd set.
Seles playing as she was here would have beaten Capriati, but unfortunately she ran into 7 unforced error Hingis in the semis rather than 50+ unforced error Hingis that Capriati did in the finals.
The best tennis Capriati ever played in a Grand Slam was probably in this order the 1991 U.S Open, 2003 U.S Open, 2000 Australian Open, 2001 Australian Open, 2002 French Open, 1991 Wimbledon. So of the 6 best grand slam events she probably ever played she only won 1 of those, and even that arguably wasnt one of her 2 or 3 best.
And NO Capriati was in no way unlucky not to win the 2004 U.S Open:
1. She never should have even beaten Serena, a tainted win with those bogus line calls.
2. She was not unlucky to lose to Dementieva. Elena had an injury, was fatigued off a really long 3 setter, and beat Capriati at her own power game hitting 41 winners to Capriati's 11.
3. She would have clearly lost the final to Kuznetsova anyway the way Kuznetsova played the final. Kuznetsova was hitting her forehand like Capriati probably never hit it in her life in that final, let alone at that point in her career (and you can tell from my comments I dont rate Kuznetsova too highly but she was on fire in that final especialy). And she completely overpowered Dementieva who herself had overpowed Capriati.
4. The only one who was unlucky to not win the 2004 U.S Open was Davenport who had the tournament in the bag if she didnt reaggravate an old thigh injury early in the 2nd set vs Kuznetsova.
Capriati was past her prime again by 2004 even though she still posted some decent results. The 2003 U.S Open was the end of her 2nd prime. Her winning the 2004 U.S Open would have required almost as much of a fluke as her 2002 Australian Open title was. She was the weakest of the 4 semifinalists at that point in time, and she didnt even really deserve to be in the semis anyway.