My Grandmother had a lot more experience than I did before she died at age 99, but I was much better able to avoid falling on ice. I would imaging a teen Gymnast, or most teens for that matter, would be better at it than I am despite ice being random phenomenon. I also think the Gymnast's practice on the balance beam or pommel horse would translate to better balance on an icy driveway compared to if she had never done those things.Some things don't care how skilled you are and so should scale with level. For example, slick surfaces. No matter if you're a circus acrobat or a candlestick maker, 'balancing' while walking on ice is a measure of raw agility more than skill at balance because unlike a tightrope, random ice is random.
I honestly don't see how experience should play into that at all, unless that experience is related to what you are trying to do.