Especially in Ice Dance, where we tend to find the highest concentration of beautiful men and women in Figure Skating. In Singles, you can be so so looking and still do well, if you have the right skills. There is undeniably a beauty factor in Figure Skating. Beautiful people have an easier time to get jobs in this world and tend to get paid more as well. The same can be said about beautiful skaters as they tend to have an easier time getting higher marks as well or at least be perceived as good in what they do.
Your look, more like the way you come across to the audience and the officials, including the judges, is very important. That's why skaters in general are good looking or at least, make an effort to look good with certain notable exceptions. An example of a skater whose appearance really holds him back would be Kevin Reynolds of Canada. This guy can do more Quads than anyone still competing today, including Plushenko and doing Quads that even Plushenko never landed in competition with such a consistency. But if you can believe it, this guy didn't even qualify for an Olympic spot after landing 2 different Quads + 8 Triples, including two Triple Axels at his Nationals. Quite honestly, his unpolished look really hurt him the most and his hair is an often mentioned criticism. It makes you want to give him a makeover.
Ice Dance tends to be the least objective of all events, in such case, the look is even more important than ever. That's why most Ice Dancers look gorgeous and the winners, almost always look picture perfect.