Sport fans are probably angriest people in the world, and all athletes, not only skaters have to deal with backlash and rotten tomatoes. I remember at Fifa World Cup some fans were throwing bottles,spitting and swearing towards some player at fault of defeat of his team. Skating fans not yet spitting to the ice, that's some feat already
The difference between FS fans and football fans is that most FS fans are women and most football fans are men. That's why Fifa World Cup had problems like that. Of course, there are a lot of good guys around that would not spit and curse, still most, actually almost all mass shooters are males, and that's scary.
But going back to FS, mind problems are not more prevalent in women than in men. Anxiety, depression and other psychiatric diseases may hit anyone, and they are quite difficult to treat.