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Anything you do outside of skiing will give you a new perspective on how to look at things when you do get on the snow. Skateboarding would definitely help with park skiing, and I'm sure it'll even make you see new things on the mountain too. I mountain bike in the summer, and I know my skiing is affected by it just as my biking feeds off skiing.
Ryno is dead on.
any sport be it skate, bmx, surf, longboard, and even soccer contributes to your ability and style.
the way you throw tricks, visualize, your timing(specially with rollers, bmx is good for that, I used to do it alot when I was younger), balance etc. all of those sports are good, keeps you active too.
skating will definetly help your style, and overall skiing ability, keep it up and you will see improvements in both.