I also believe that john is a favourite to win the majority of matches against her, but she has won the 1 match they played.
Also, they have played in the World 14-1 Championship the last three years, with the following results.
2008:
Jasmin 3rd
John 5th
2007
John 5th
Jasmin 9th
2006
Jasmin 5th
John 9th
Jasmin has played a lot more matches than one race to 150, to get finishes like this. Don't forget that these tournaments have had players such as Ortmann, Feijen, Hohmann, Schmidt, Harriman, Orcullo, Bustamante, Souquet, Mike Sigel, Nick van den Berg etc.
Even though most of us rank John as a better 14-1 player than Jasmin, she has been more consistent (slightly) during the last three 14-1 tournaments they have played.
She has beat John, Oliver Ortmann and Mika Immonen, to name a few. In 2006, she lost in the quarterfinal against Hohmann, who won the event. In 2008 she beat Mika Immonen in the last 16 and reigning champion Ortmann in the quarterfinal, both in a race to 200.