The odds of any skater becoming famous are very small.
That being said, I skated as a kid and am now a skater and a parent of a skater. Our whole family skates. My son & husband are more into it than my daughter.
Skating will teach her alot of things. Physical and mental. Hard work, goals, achievement. Trying hard, listening, and never quitting. It takes alot to learn any move, and never giving up is big part of it. Also teaches self reliance. When you do a program, it's all on your shoulders. What you've trained a year to do, all comes out in a few minutes. If you can survive skating, you can survive anything. College was super easy, law school a snap, the Bar Exam and CPA exam, just a preparation.
Physically, you are training her to understand her own body. It takes balance, strength, coordination, and stamina.
But, it is a hard sport. When I was pregnant with my daughter, everyone asked me if she was going to be a skater. I said, "Only if she wants to be. It's too hard of a sport otherwise." So, if your daughter is having fun, then let her do it. You don't have to be cultish about it. She will learn & improve, even if she only goes once or twice a week.
As for as her becoming a national champion. Depends on how much she loves the sport, her body type, her muscle type (fast or slow twitch), ability to jump, and withstand the injuries. The girls who skate very seriously at my rink, all do virtual school offered by our county. They are very dedicated to their school work. I help them occasionally, especially with math. They are right on track with my daughter who is in a brick and mortar school. One of the girls is a few years ahead. But, again, you don't have to go all cultish on skating. Do it for fun, for exercise, and for the intangibles that skating teaches. And, if she really loves it . . she'll be an adult skater one day too!