In general, I don't think figure skaters are particular global superstars. The sport is not globally played ie Africa and S. America have few if nay competitors. The constant changing scoring system among inconsistent or questionable judging, Certain Asada, Kim, Plushenko, Lipinskaya, Kwan, Hamill and Fleming had huge domestic following but internationally not so much and then again more limited to the skating community. The ave person who might watch skating if at all during an olympic year might know the name Tonya Harding for the wrong reasons. I see the names Torvill and Dean but they are very limited to the skating community. In part because back the ice dancing sort of was a situation of inheriting your spot. And in part because ice dancing especially back in 1984 was seen as more dance and not athletic and in part Torvill and Dean read as old. remember seeing that in some marketing class. Jayne Torvill had a very matronly old look. Again marketing. I am not sure martial arts will get you int'l recognition but the point is well taken about other sports. This is not to put down Torvill and Dean or anyone. Sadly skating isn't the most popular sport or where skaters get the most money compared t say tennis, golf, ,basketball, football/soccer (European/intl), hockey. I don't think martial arts woudl make a ss ome don't even consider i really a sport.
Certain Asada, Kim, Plushenko, Lipinskaya, Kwan, Hamill and Fleming had huge domestic following but internationally not so much and then again more limited to the skating community.
I'm going with Patrick, Kurt , and Michelle because the have Multiple World Titles and individual Olympic Medals. Unfortunately, none of them are gold. Patrick does have a team Gold that I know he loves and that makes me very happy.
Much as I think it should be otherwise, Yuzuru has a sizeable fan base but is not well known in the US, no current skater, domestic or foreign, is (from what I've read, the name most recognised... well, you can all guess ).
Mao is huge is Japan, Yuna transcendantly so in Korea, and Yuzuru jawdroppingly so in Japan and in much of Asia. Again, it's different worldviews and we don't always - often - realise this.
The most recognizable/famous skaters in the US (general population; not skating fans) are Peggy Fleming, Dorothy Hamill and Scott Hamilton. Hanyu doesn't even come close.
ETA: And Tonya Harding.